Section 5.6 Part 2: Unit Rates and Unit Prices

Write the ratio as a fraction: $70 for 63glasses. Simplify your answer. $__/__glasses

$10/9 glasses Write as a fraction with $70 in the numerator and 63glasses in the denominator. $70/63glasses Simplify by dividing the numerator and denominator by the GCF, 7. $10/9glasses So, $70 for 63glasses is equivalent to $10/9glasses.

Divide: 1.176÷28.

0.042

Divide: 0.68÷10.

0.068

The store charges $10.20 for a case of 24 bottles of natural spring water. What is the unit price for one bottle? Round your answer to the nearest cent if necessary.

0.43 What are we asked to find? We are asked to find the unit price, which is the price per bottle.Write it as a rate. $10.20/24bottles Divide to find the unit rate. $0.425/1bottle Round the result to the nearest cent. $0.43/1bottle The unit price is approximately $0.43 per bottle. Each bottle costs about $0.43.

Find the unit price of 36 juice boxes for $16.98. Round your answer to the nearest cent if necessary.

0.47 What are we asked to find? We are asked to find the unit price, which is the price per juice box.Write it as a rate. $16.98/36juice boxes Divide to find the unit rate. $0.4717/1juice box Round the result to the nearest cent. $0.47/1juice box The unit price is approximately $0.47 per juice box. Each juice box costs about $0.47.

The gardening store is selling a 50-lb bag of limestone chips for $32.23. What is the unit price for one pound of chips? Round your answer to the nearest cent if necessary.

0.64 per lb What are we asked to find? We are asked to find the unit price, which is the price per pound.Write it as a rate. $32.23/50lbs Divide to find the unit rate. $0.6446/1lb Round the result to the nearest cent. $0.64/1lb The unit price is approximately $0.64 per pound. Each pound costs about $0.64.

Write the rate as a fraction: 492miles in 8hours. Simplify your answer.

123/2 ----> 123 miles/2hours Write as a fraction with 492miles in the numerator and 8hours in the denominator. 492miles/8hours 123miles/2hours So 492miles in 8hours is equivalent to 123miles/2hours.

In the last 8weeks, after mowing the front and back yards, you have accumulated 126pounds of grass in the trash. What is the rate of pounds per week?

15.75 pounds/weak Start with a rate of pounds to weeks. Then divide. 126pounds per 8weeks Write as a rate. 126pounds/8weeks Divide the numerator by the denominator. 15.75pounds/1week Rewrite as a rate. 15.75pounds/week You accumulate 15.75 pounds of grass per week from mowing.

An average stenographer can type 510words in 180seconds. Write this rate as a fraction. Simplify your answer.

17 words/6 seconds Write as a fraction with 510words in the numerator and 180seconds in the denominator. 510words/180seconds Simplify by dividing the numerator and denominator by the GCF, 30. 17words/6seconds So, 510words in 180seconds is equivalent to 17words/6seconds.

Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon.

20 miles/gallon Start with a rate of miles to gallons. Then divide. 1,040miles per 52gallons of gas Write as a rate. 1,040miles/52gallons Divide the numerator by the denominator. 20miles/1gallon Rewrite as a rate. 20miles/gallon The truck can go20milespergallonof gas.

Write the ratio as a fraction: 34cups of vinegar for 51ounces of oil. Simplify your answer.

2cups/3ounces Write as a fraction with 34cups of vinegar in the numerator and 51ounces of oil in the denominator. 34cups/51ounces Simplify by dividing the numerator and denominator by the GCF, 17. 2cups/3ounces So, 34 cups of vinegar for 51 ounces of oil is equivalent to 2 cups/3 ounces.

Holly wants to carry 72 pounds of rice using a bag with a single shoulder strap. The area of contact between the strap and her shoulder is 36 square inches. Assuming the weight is evenly distributed, what is the rate of pounds per square inch?

2lbs /square inch Start with a rate of pounds to square inches. Then divide. 72 pounds per 36 square inches Write as a rate. 72pounds/36squareinches Divide the numerator by the denominator.2pounds/1squareinch Rewrite as a rate.2pounds/squareinch The shoulder strap exerts 2 pounds per square inch.

Translate the phrase into an algebraic expression: the ratio of 3x and y.

3x/y the ratio of 3x and y Write as a rate. 3x/y

Seth is looking to buy a car. He finds one that can go 780miles on a full tank of 16gallons of gas. Find the rate of miles per gallon.

48.75 miles/gallon Start with a rate of miles to gallons. Then divide. 780miles per 16gallons of gas Write as a rate. 780miles/16gallons Divide the numerator by the denominator. 48.75miles/1gallon Rewrite as a rate. 48.75miles/gallon The car can go 48.75 miles per gallon of gas.

Translate the phrase into an algebraic expression: 49 dollars for x lessons.

49 dollars/ x lessons 49dollars for xlessons Write as a rate. 49dollars/xlessons

Write the ratio as a fraction: 204miles to 8hours. Simplify your answer. Provide your answer below:

51 miles /2 hours Write as a fraction with 204miles in the numerator and 8hours in the denominator. 204miles/8hours Simplify by dividing the numerator and denominator by the GCF, 4. 51miles/2hours So, 204miles in 8hours is equivalent to 51 miles 2 hours.

Translate the phrase into an algebraic expression: the ratio of 6u and 13v.

6u/13v the ratio of 6u and 13v Write as a rate. 6u/13v

At the store, 4oz of Brand A glue costs $1.48, while 5oz of Brand B glue costs $1.77. Which is the better buy, Brand A or Brand B glue?

The better buy is brand ____ for $ _____ per ounce ANSWER B $0.35 per oz To compare the prices, we first find the unit price for each brand of glue.Write each as a rate. Brand A: $1.48/4oz; Brand B: $1.77/5oz Find the unit price. Brand A: $0.37/1oz; Brand B: $0.354/1oz Round to the nearest cent. Brand A: $0.37/oz; Brand B:$0.35/oz Now we compare the unit prices. The unit price of Brand A is about $0.37 per ounce, and the unit price of Brand B is about $0.35 per ounce. Brand B is the better buy.

Find the unit price of 5 shirts for $33.25. Round your answer to the nearest cent if necessary.

The unit price is $6.65 per shirt. Each shirt costs about $6.65. What are we asked to find? We are asked to find the unit price, which is the price per shirt.Write it as a rate. $33.25/5shirts Divide to find the unit rate.$6.65/1shirtThe unit price is $6.65 per shirt. Each shirt costs about $6.65.

A 16−oz bottle of parmesan cheese costs $5.78, while an 8−oz bottle costs $3.97. Which is the better buy? Round your answer to the nearest cent if necessary.

To compare the prices, we first find the unit price for each bottle of cheese.Write each as a rate. the 16−oz bottle: $5.78/16oz; the 8−oz bottle: $3.97/8oz Find the unit price. the 16−oz bottle: $0.361/1oz; the 8−oz bottle: $0.496/1oz Round to the nearest cent. the 16−oz bottle: $0.36/oz; the 8−oz bottle:$0.50/oz Now we compare the unit prices. The unit price of the 16−oz bottle is about $0.36 per ounce, and the unit price of the 8−oz bottle is about $0.50 per ounce. The 16−oz bottle is the better buy.

At the store, Brand A laundry detergent contains enough detergent for 64 loads and costs $11.97, while Brand B detergent contains enough for 81 loads and costs $19.97. Which is the better buy, Brand A or Brand B laundry detergent? Round your answer to the nearest cent if necessary.

To compare the prices, we first find the unit price for each brand of detergent.Write each as a rate. Brand A: $11.9764loads; Brand B: $19.9781loads Find the unit price. Brand A: $0.187...1loads; Brand B: $0.246...1loads Round to the nearest cent. Brand A: $0.19/load; Brand B:$0.25/load Now we compare the unit prices. The unit price of Brand A is about $0.19 per load, and the unit price of Brand B is about $0.25 per load. Brand A is the better buy.

At the store, 60 Brand A diapers costs $24.94, while 100 diapers of Brand B costs $39.99. Which is the better buy, Brand A or Brand B diapers? Round your answer to the nearest cent if necessary.

To compare the prices, we first find the unit price for each brand of diapers.Write each as a rate. Brand A: $24.94/60diapers; Brand B: $39.99/100diapers Find the unit price. Brand A: $0.415/1diaper; Brand B: $0.399/1diaper Round to the nearest cent. Brand A: $0.42/diaper; Brand B:$0.40/diaper Now we compare the unit prices. The unit price of Brand A is about $0.42 per diaper, and the unit price of Brand B is about $0.40 per diaper. Brand B is the better buy.

A package of 85 paper plates costs $8.08, while a package with 55 paper plates costs $4.40. Which is the better buy? Round your answer to the nearest cent if necessary.

To compare the prices, we first find the unit price for each package of paper plates.Write each as a rate. the 85-plate package: $8.08/85plates; the 55-plate package: $4.40/55plates Find the unit price. the 85-plate package: $0.095/1plate; the 55-plate package: $0.08/1plate Round to the nearest cent. the 85-plate package: $0.10/plate; the 55-plate package:$0.08/plate Now we compare the unit prices. The unit price of the 85-plate package is about $0.10 per plate, and the unit price of the 55-plate package is about $0.08 per plate. The 55-plate package is the better buy.

Write the rate as a fraction: 856miles in 16hours. Simplify your answer.

Write as a fraction with 856miles in the numerator and 16hours in the denominator. 856miles/16hours Simplify by dividing the numerator and denominator by the GCF, 8. 107miles/2hours So, 856miles in 16hours is equivalent to 107miles/2hours.

Find each unit price and then determine the better buy. Round to the nearest cent if necessary. Brand A Storage Bags, $4.59 for 40 count, or Brand B Storage Bags, $3.99 for 30 count

Write as a rate. Brand ABrand B$4.59/40 bags$3.99/30 bags Find the unit price. Brand ABrand B$0.11475/1 bag$0.133/1 bag Round to the nearest cent. Brand ABrand B$0.11/bag(11 cents per bag) $0.13/bag(13 cents per bag) Now we compare the unit prices. The unit price of Brand A is about $0.11 per bag, and the unit price of Brand B is about $0.13 per bag. Brand A is the better buy.

Find unit price

https://www.youtube.com/watch?v=ZI4WaviYNsk&feature=emb_title

A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your answer to the nearest cent if necessary.

the better buy is the box of ____ bars of soap for $ ___ per bar 10 bars of soap for $1.09 To compare the prices, we first find the unit price for each box of soap.Write each as a rate. the 10-bar box: $10.88/10bars; the 14-bar box: $17.62/14bars Find the unit price. the 10-bar box: $1.088/1bar; the 14-bar box: $1.258/1bar Round to the nearest cent. the 10-bar box: $1.09/bar; the 14-bar box:$1.26/bar Now we compare the unit prices. The unit price of the 10-bar box is about $1.09 per bar, and the unit price of the 14-bar box is about $1.26 per bar. The 10-bar box is the better buy.

A package of 12 light bulbs costs $19.97, while a package with 4 light bulbs costs $4.97. Which is the better buy? Round your answer to the nearest cent if necessary.

the better buy is the package of 4 lightbulbs for 1.24 a bulb To compare the prices, we first find the unit price for each package of light bulbs.Write each as a rate. the 12-bulb package: $19.97/12bulbs; the 4-bulb package: $4.97/4bulbs Find the unit price. the 12-bulb package: $1.664...1bulb; the 4-bulb package: $1.242....1bulb Round to the nearest cent. the 12-bulb package: $1.66/bulb; the 4-bulb package:$1.24/bulb Now we compare the unit prices. The unit price of the 12-bulb package is about $1.66 per bulb, and the unit price of the 4-bulb package is about $1.24 per bulb. The 4-bulb package is the better buy.

Translate the phrase into an algebraic expression: udollars per 32loads.

udollars per 32loads Write as a rate. $u/32loads

Find the unit price of 1,000 balloons for $190. Round your answer to the nearest cent if necessary. unit price $____ per balloon

unit price $____ per balloon answer $0.19 per balloon What are we asked to find? We are asked to find the unit price, which is the price per balloon.Write it as a rate. $190/1,000balloons Divide to find the unit rate. $0.19/1balloon The unit price is $0.19 per balloon. Each balloon costs about $0.19.

Find unit price

video https://www.youtube.com/watch?v=9TslwH8izgc&feature=emb_title