How many quart cans can be filled from a 25-gallon bucket of paint?

A 100

explanation

A gallon consists of 4 quarts. 4 × 25 = 100.

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How much would it cost per month to rent a rectangular office that measures 20 feet by 30 feet if the cost per square foot per month is $8?

$4,800

The area of the office is 20 feet × 30 feet = 600 square feet. At $8 a square foot, the total cost would be 600 × $8 = $4,800 a month.

George bowls three games. His scores are 222, 208, and 197. What was his average score for the three games?

209

To find the average of three numbers, begin by adding the numbers, and then divide by 3. Since 222 + 208 + 197 = 627, and 627 ÷ 3 = 209, his average score was 209.

Dennis ran a race in 2.2 minutes. Kayla ran the same race in 124 seconds. What is the difference between these two times?

8 seconds

Convert 2.2 minutes to seconds. 2.2 × 60 = 132 seconds. The difference in the two times is 132 – 124 = 8 seconds.

In a 60-minute gym class, 40 girls want to play volleyball, but only 10 can play at a time. For each player to get the same amount of playing time, how many minutes should each person play?

15 minutes

Divide the group of 40 girls by the number of girls who can play at the same time:
40 ÷ 10 = 4. This means 4 groups of girls have to share the 60 minutes or 60 minutes ÷ 4 = 15 minutes. Thus, each girl plays for 15 minutes.

Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck?

$87.10

Let p represent the amount of the paycheck. 4/13p =$26.80, so p=$26.80 * 13/4= $87.10.

If a patient doesn't receive treatment for a certain injury within 2 hours after injury, the patient's chance of survival starts decreasing by 15% each hour. If no treatment has been given within 4 hours after injury, roughly, what chance of survival will the patient have?

72%

At the end of two hours, the patient still has a 100% chance of survival. After three hours, he has an 85% of survival, or 0.85. After four hours, he has an 85% of the 85% he had at the end of three hours: 0.85 * 0.85 = 72.25% chance of survival.

If 400 people can be seated in eight subway cars, how many people can be seated in five subway cars?

250

If 400 people fit in eight subway cars, then 400 ÷ 8, or 50, people fit in one subway car. Therefore, 50 × 5, or 250, people fit in five subway cars.

How many omelets can be made from 2 dozen eggs if an omelet contains 3 eggs?

There are 24 eggs in 2 dozen eggs. If 3 eggs are in an omelet, then 24 ÷ 3, or 8 omelets, can be made.

Eleven plus forty-one is divided by a number. If the result is 13, what’s the number?

Let x = the unknown number. Set up the formula as (11 + 41) ÷ x = 13.
52 ÷ x = 13
52 = 13x
x = 4

If a crew of four people can paint the barn in three days, how long will it take a crew of two people?

6 days

Dividing 4 crewmembers by 2 crewmembers shows that 4 members are twice as many as 2 members. Multiply the number of days it would take 4 people to paint by 2 (3 × 2) to determine how long it would take 2 people to do the same task.

If 4 people can run 8 machines, how many machines can 2 people run?

Two people is 1/2 as many as 4 people: 2 ÷ 4 = 1/2. Multiply the number of machines 4 people can run by 1/2 to determine how many machines 2 people can run: 8 × 1/2 = 4.

Dinner at a nice restaurant cost $35.98. If Joan gave the cashier $40.00, how much change should she get back?

$4.02

Subtract $35.98 from $40.00 to get $4.02.

In a nut mixture, there are 1(1/8) pounds of almonds, 2(3/4) pounds of cashews, and 3(1/3) pounds of peanuts. The total weight of the mixture is

7(5/24) pounds.

1(1/8)+2(3/4)+3(1/3)=9/8+11/4+10/3=27/24+66/24+80/24=173/24 7(5/24)pounds.

If the average speed of an airplane is 525 miles per hour, how many miles can it travel in 6 hours?

3,150

Previously, you saw that the formula for distance is d = r × t, that is, distance = rate × time. In this case, distance = 525 × 6 = 3,150 miles.