if 3 books cost 4 how much will 6 books cost
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HESI A2

HESI A2 Quizlet Math

1. If 3 books cost $4, how much will 6 books cost?

Correct answer: A

Rationale: To find the cost of 1 book, divide the total cost by the number of books: $4 / 3 = $1.33 per book. To determine the cost of 6 books, multiply the cost per book by 6: $1.33 * 6 = $8. Therefore, purchasing 6 books will cost $8. Choice B, $12, is incorrect as it incorrectly doubles the cost of 3 books. Choice C, $6, is incorrect as it is half the cost of 3 books. Choice D, $10, is incorrect as it does not accurately calculate the cost of 6 books based on the given information.

2. If Gwen's favorite summer drink is 2 parts fruit juice to 3 parts seltzer and she starts with a gallon of fruit juice, how many quarts of seltzer will she need?

Correct answer: D

Rationale: To maintain the ratio of 2 parts fruit juice to 3 parts seltzer, for every 2 parts of fruit juice, Gwen will need 3 parts of seltzer. Since a gallon of fruit juice is equivalent to 4 quarts, she will need 3 quarts of seltzer for every 2 quarts of fruit juice. For 4 quarts of fruit juice, she will require 6 quarts of seltzer. Therefore, Gwen will need 6 quarts of seltzer to make the summer drink for her friends. Choice A (3 quarts) is incorrect because it does not account for the correct ratio. Choice B (4.5 quarts) is incorrect because it is not a whole number and does not align with the ratio provided. Choice C (5 quarts) is incorrect as it does not match the proportional ratio of fruit juice to seltzer required.

3. What is 15% of 95?

Correct answer: A

Rationale: To find 15% of 95, you multiply 95 by 0.15 (which represents 15% as a decimal). Therefore, 95 * 0.15 = 14.25. The correct answer is A. Choice B, 18.5, is incorrect as it does not represent 15% of 95. Choices C and D, 24.25 and 28.5, are also incorrect calculations for 15% of 95.

4. An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?

Correct answer: B

Rationale: The formula for the area of a rectangle is: Area = Length × Width. To find the length, divide the area by the width: 225 ÷ 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.

5. How many centimeters are in a foot?

Correct answer: C

Rationale: The correct answer is C: 30.48 cm. This conversion is based on the standard measurement where 1 foot is equal to 30.48 centimeters. Choice A (30 cm) is incorrect as it is a rounded-down value and not precise. Choice B (31.5 cm) is incorrect as it is not the standard conversion for feet to centimeters. Choice D (35 cm) is incorrect as it is not the accurate conversion for a foot to centimeters.

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