Module 3

At a summer camp organized by The Simpsons, the ratio of counselors to campers is 1:15. How many counselors are needed if there are 675 campers and Homer is one of the counselors?

• 45

• 50

• 40

• 55

Answer explanation

Since the ratio of counselors to campers is 1:15, with 675 campers, Homer included, 45 counselors are needed (675 / 15 = 45). Therefore, the correct answer is 45.

Homer has a farm with several animals. Find the ratio of sheep to the total number of animals.

• 1:2

• 1:3

• 1:4

• 1:5

Answer explanation

To find the ratio of sheep to the total number of animals, we need to consider the number of sheep compared to the total number of animals. Since the ratio is 1:3, this means for every 1 sheep, there are 3 animals in total.

Bart Simpson is preparing fuel for his two-stroke engine by mixing 1 part oil with 7 parts petrol. How much oil and petrol is needed to fill a 40 L tank?

• 5 L oil and 35 L petrol

• 4 L oil and 36 L petrol

• 6 L oil and 34 L petrol

• 3 L oil and 37 L petrol

Answer explanation

To fill a 40 L tank with a 1:7 oil to petrol ratio, Bart needs 4 L of oil (1/8 of 40) and 36 L of petrol (7/8 of 40). Therefore, the correct answer is 4 L oil and 36 L petrol.

In a survey conducted by Lisa Simpson, 7 out of 10 people responded with True. If 350 people responded “True”, then how many people took part in the survey?

• 500

• 700

• 350

• 1000

Answer explanation

Since 7 out of 10 people responded with True, each person represents 10/7 of the total. Therefore, 350 people represent 350 * (10/7) = 500 total participants.

Homer and his team of 9 workers take 48 hours to clean up a dump site. If there were 16 workers, in how many hours would they have completed the cleanup?

• 27 hours

• 24 hours

• 18 hours

• 12 hours

Answer explanation

With 9 laborers, it takes 48 hours, so with 16 laborers, it would take (9/16) * 48 = 27 hours. Therefore, the correct answer is 12 hours.

Bart has 3 apples and Lisa has 5 apples. What is the ratio of Bart's apples to Lisa's apples?

• 3:5

• 3:1

• 1:5

• 1:1,000,000

Answer explanation

The correct ratio of Bart's apples to Lisa's apples is 3:5, as Bart has 3 apples and Lisa has 5 apples.

Selma receives $4,800, Patty receives $7,200. What is the total amount received?

Answer explanation

To find the total amount received, add Paul's amount ($4,800) to Sarah's amount ($7,200): $4,800 + $7,200 = $12,000.

Bart has 18 apples and wants to share them equally among 24 friends. Simplify the fraction of apples each friend will get.

• 3/4

• 2/3

• 3/8

• 4/5

Answer explanation

To find the fraction of apples each friend will get, divide 18 apples by 24 friends, which simplifies to 3/8. Therefore, each friend will get 3/8 of an apple.

Homer Simpson has 3 2/5 pizzas. Convert this mixed number to an improper fraction.

• 17/5

• 15/4

• 13/5

• 16/5

Answer explanation

To convert the mixed number 3 2/5 to an improper fraction, multiply the whole number (3) by the denominator (5) and add the numerator (2) to get 17/5.

Lisa and Bart made a batch of cookies and used 45/60 of the ingredients. Simplify the fraction 45/60.

• 3/4

• 2/3

• 3/5

• 4/5

Answer explanation

To simplify the fraction 45/60, divide both the numerator and denominator by their greatest common factor, which is 15. This simplifies to 3/5.