arithmetic reasoning

An electronics store had a 20% off sale. If a stereo originally cost $125, how much did the stereo cost during the sale?

$100 Because 125x20=2500 And 2500/100=25 125-25=100

How many ft of chain fence are necessary to enclose a dog pen that square and has an area of 64ft ?

- Area of a square= a^2 - So the sq rt of 64=8 - Square has 4 sides= 8*4= 32

If the perimeter of a square garden is 84ft what is the area?

- square has 4 sides - 84/4= 21 - Area of a square= a^2 - 21^2= 441sq ft

there are 9 red and 6 green marbles in a bag. a child reaches in the bag and randomly takes one marble. what is the probability of the child getting a green marble?

.66

Each August, a resentment's rent is adjusted to the cost-of-living index. The rent has been $1,550 a month, and the cost of living index for this August was 3.796. What is the new rent per month?

1,607.35

the price of salmon at a fish market is $5.40 per pound. This is 150% of its cost at a supermarket. how much would it cost per pound at the supermarket?

3.60

A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in one minute what percentage of the time did radar track the aircraft?

50% 30 tracks / 60= 0.5= 50 percent

a pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces. If two of the pieces of the pie are eaten, what portion of the pie remains?

8 pieces of the pie in total (2+2+4) - 2 pieces were eaten - 6 pieces are left - 6/8 = 3/4

A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it can go on level ground. If it goes 120 mph downhill, how long will it take to travel 45 miles on flat land?

1/2

if the population of a certain city increased 25% in two year, the new population was what percent of the old?

125%

jamie just bought two boxes. the first box is a square, with each side measuring 10 units, and 4 units high. the second box is a rectangular and has twice the volume of the square box. if the height of the second box is 5 units, and the width is 10 units, what is the length of the second box?

16 units.

a woman is looking for a bigger square office, she finds an office twice the area of her current office, if the perimeter of her current office is 88 feet, how many square feet is the new office?

176 ( correct is 968 sq ft)

before being painted, a concrete play area was marked off into squares and then into triangles for the square shown, what is the area of the triangular part labeled?

24 sq ft

A printing press will print 6,000 copies in 20 minutes. A second press can print 15,000 in 60 minutes, How many more copies per minute will the faster press print than the slower press?

3,000

How many 5 pound bags of apples can be made from 400 apples, each weighing 1/4 pound??

A. 20 you can make 20 bags of 5 pounds apples (1/4) * 4 = 1 4 apples = 1 pound 20 apples = 5 pound (1 bag) 400/20 = 20 ----- * = multiplication / = division

A gas can is filled at the rate of 320 cubic inches per minute. The can is 10 inches long, 8 inches wide, and 12 inches high. How many minutes will it take to fill the can?

As, Volume of cuboid = Volume of can = cubic inches.So. Volume of can = 960 cubic inches.Since, a gas can is filled at the rate of 320 cubic inches per minute.Therefore, total minutes taken to fill the can = Volume of the can Rate at which gas is filled= = 3 minutes.

Five people, each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the average number of toys?

D. 16

Jerry walked a dog from 6:40 am to 7:30 one day if he was paid at the rate of $ 6 per hour, how much did he ear that day?

Explanation: Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes. Since he is paid at a rate of $ 6 per 60 minutes, we can make a proportion. 6 60 = x 50 From here, you have to solve for x . So cross multiply, and then simplify.

A box of nails weight 1-5/6 pounds what is the weight of 12 boxes?

my answer was 23-1/6( correct is 1 5/6 * 12 = (11/6)*(12/1) = 22

if 35 of the 140 cars delivered to dealer were blue, what percent of the cars were blue?

my answer was 4 % 35 out of the 140 cars are blue. This can be written as the fraction 35/140. 2. Convert the fraction to a decimal by dividing the top number by the bottom number. 35÷140 = 0.25 3. Covert the decimal to a percentage by moving the decimal point two places to the right. So the answer would be 25% of the cars are blue.

If a 5 foot post cast an 8 foot shadow at the same time that a nearby tree cast a 48 foot shadow. How tall is the tree?

my answer was B. 40 feet. 8ft/5ft = 48ft/x (cross multiply) - 548= 240 & x48= 48x - 240= 48x - 240/48= 30ft tall

he pet store has six puppies selling for 104$ each and twelve kittens selling for 24$ each. Today only two puppies and eight kittens were left. In dollar terms what is the ratio of sales puppies to kittens?

puppies: 6-2= 4 Kittens: 12-8= 4 - Puppies: $1044= $416 Kittens: $244= $96 - Ratio: $416 : $96 (put this into simplest form) - 416/8= 52 : 96/8= 12 Ratio: $52 : $12 - 52/4= 13 : 12/4= 3 Ratio: $13 : $3 (simplest form) I put 11 to 1.