Arithmetic Reasoning #1

My friend bought some skateboards for $195. He sold them for $770 making $25 profit on each skateboard. How many skateboards were there?

$770 - $195 = $575. $575 ÷ 25 = 23 skateboards.

An inch on a map represents 200 miles. On the same map, a distance of 375 miles is represented by

1 : 200 = x : 375; 200x = 375; x = 375 ÷ 200 = 1 875. 1 7/8

How much time is there between 8:30 a.m. today and 3:15 a.m. tomorrow? A 17 3/4 hours B 18 1/3 hours C 18 1/2 hours D 18 3/4 hours

D. From 8:30 am to noon is 3:30. To midnight would be 12:00 + 3:30 = 15:30. Then add the remaining time as follows: 15:30+3:15=18:45.

If one kilometer is approximately 5/8 of a mile. Then approximately how many miles are in 42 kilometers?

If 1 km = 5/8 of a mile, then 42 kilometers would be determined by multiplying 42 by 5/8. The fraction can also be converted to a decimal: 0.625. The approximate answer is 26.

If a salary of $20,000 is subject to a 20 percent deduction, the net salary is

If 20% is deducted, the net salary is 80%. $20,000 × 80% = $20,000 × .80 = $16,000.

A folding chair regularly sells for $29.50. How much money is saved if the chair is bought at a 20% discount?

$29.50 × 20% = $29.50 × 0.20 = $5.90 saved.

A man takes out a $5,000 life insurance policy at a yearly rate of $29.62 per $1,000. What is the yearly premium?

$29.62 × 5 = $148.10

At the rate of 4 peaches for a half dollar, 20 peaches will cost

0 peaches are 5 × 4 peaches; 4 peaches cost $.50; 5 × $.50 = $2.50

If a load of snow contains 3 tons, it will weigh how many pounds?

1 ton = 2,000 lbs.; 3 × 2,000 lbs. = 6,000 lbs.

The number of half-pound packages of tea that can be made up from a box that holds 10.25 pounds of tea is

10 1/4 pounds. ÷ 1/2 = 41/4 *2/1 = 20 1/2 boxes

If a barrel has a capacity of 100 gallons, how many gallons will it contain when it is two-fifths full?

2/5 can also be described as the decimal, 0.4. 0.4 × 100 = 40. = 40 gal.

If 3 apples cost 48¢, how many dozen apples can be bought for $3.84?

3 apples cost 48¢, so one apple costs 48 ÷ 3 = 16¢. $3.84 ÷ 16 = 24 apples; 24 = 2 dozen.

On her maiden voyage, the S.S. United States made the trip from New York to England in 3 days, 10 hours, and 40 minutes, beating the record set by the R.M.S. Queen Mary in 1938 by 10 hours and 2 minutes. How long did it take the Queen Mary to make the trip?

3 days 10 hrs. 40 min. + 10 hrs. 2 min. = 3 days 20 hrs. 42 min.

A pile of magazines is 4 feet high. If each magazine is 3/4 of an inch thick, the number of magazines in the pile is

4 feet = 48 inches; 48 ÷ 3/4 = 48/1 *4/3 =64 magazines

On a scale drawing, a line 1/4 inch long represents a length of 1 foot. On the same drawing, what length represents 4 feet?

4 x 1/4(inch) = 1 inch

A carpenter spent his 40-hour workweek as follows: 1/4 of his time ordering materials; 1/2 of his time doing the woodwork; and 1/8 of his time talking to customers. The rest of his time was devoted to cleanup. What is the approximate percentage of time the carpenter spent doing cleanup?

40 1/2+ 40 (1/2) + 40 (1/8) => 10+20+5 => 35 40 - 35 = 5, so 5 hours was spent cleaning: 5/40 = 12.5%

A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?

50 shares x $30 = $1500. 6% payable stock => it means 6% of the total value of 50 shares => 1500 x 6% = 90. With $90, the man can buy 3 more shares, so the total he owns then are 53 shares.

What is the greatest number of half-pint bottles that can be filled from a 10-gallon can of milk?

8 pts. in 1 gal.; 80 pts. in 10 gal.; 160 half-pints in 10 gal.

A pint of milk is what part of half a gallon?

There are 8 pts. in 1 gal.; therefore, there are 4 pts. in 1/2 gal., so, 1 pt. =1/4 -of- 1/2gal.

Five girls each ate 3 cookies from a box containing 2 dozen. What part of a dozen was left?

There were 2 × 12 = 24 cookies. The girls ate 5 × 3 = 15 cookies. Therefore, 24 - 15 = 9 cookies left; 9= 3/4 dozen

One year the postage rate for sending 1 ounce of mail first class was increased from 25 cents to 29 cents. The percent of increase in the 29-cent postage rate was most nearly

To find the percent of increase, subtract the original figure from the new figure. Then divide the amount of change by the original figure. 29¢ - 25¢ = 4¢; 4 ÷ 25 = .16 = 16%

If a boat is towed at the rate of 4 miles per hour, how much time will be needed to tow the boat 17 miles?

ince distance = rate × time, substituting you get 17 = 4 × time. Dividing both sides by 4, you get 4 1/4 = t. So, 17 miles an hour at 4 miles per hour equals 4 hours, 15 minutes.

A woman's weekly salary is increased from $350 to $380. The percent of increase is most nearly

o find percent of increase, subtract the original figure from the new figure. Then divide the amount of change by the original figure. $380 - $350 = $30; $30 ÷ $350 = .0857 (which is approximately 8 1/2)