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A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?

  • A. 10 times as many
  • B. 4 times as many
  • C. 5 times as many
  • D. 29 times as many
Correct Answer: D

Rationale: Let's assign a value to the number of pennies. If we say there is 1 penny, then there are 2 quarters (twice as many as pennies), 4 nickels (four times as many as pennies), and 20 dimes (five times as many as nickels). The number of dimes is 20, and the number of quarters is 2. The difference between the number of dimes and quarters is 20 - 2 = 18. Therefore, the child has 18 more dimes than quarters, which is 18 times as many, not 29 times as many as stated in the original answer choice.

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Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

  • A. 1/6
  • B. 1/4
  • C. 1/3
  • D. 1/6
Correct Answer: D

Rationale: After one friend eats half of the pizza, half of the pizza remains to be divided among the other three friends. Dividing this remaining half equally among three friends means each friend receives 1/6 of the pizza (1/2 · 3 = 1/6). Therefore, each of the other three friends receives 1/6 of the pizza.

A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?

  • A. $451
  • B. $527
  • C. $316
  • D. $431
Correct Answer: A

Rationale: To find the original price, start by letting x represent the original price. The sale price is 30% less than x, which means it is 70% of x (100% - 30% = 70%). After the additional 25% off coupon, the consumer pays 75% of the sale price (100% - 25% = 75%). Setting up the equation: 0.75 * 0.7 * x = $237. Solving for x gives x = $451, which is the original price of the recliner.

A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water are in one fully filled bucket?

  • A. 14/15
  • B. 8 2/5
  • C. 6 4/5
  • D. 2 7/15
Correct Answer: C

Rationale: To determine the amount of water in a fully filled bucket, we need to find out how much 1/3 represents in gallons. If 2 4/5 gallons represent 1/3 of the bucket, then the total amount in the bucket can be calculated by multiplying 2 4/5 by 3 (since 1/3 is multiplied by 3 to get the whole). 2 4/5 * 3 = 8 2/5 gallons, which is the capacity of the bucket when completely filled. Therefore, one fully filled bucket contains 8 2/5 gallons of water.

Which of the following percentages is equivalent to the fraction 5/8?

  • A. 160%
  • B. 65.25%
  • C. 62.50%
  • D. 1.60%
Correct Answer: C

Rationale: To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For the fraction 5/8, it equals 0.625 when divided, which when multiplied by 100 results in 62.50%. Therefore, choice C, 62.50%, is the correct percentage equivalent to the fraction 5/8.

A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?

  • A. 18 times as many
  • B. 5 times as many
  • C. 20 times as many
  • D. 10 times as many
Correct Answer: A

Rationale: Let p be the number of pennies. Quarters = 2p, Nickels = 4p, Dimes = 5 * 4p = 20p. So, Dimes - Quarters = 20p - 2p = 18p. The child has 18 times more dimes than quarters.

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