gwens favorite summer drink is 2 parts fruit juice to 3 parts seltzer if she is making drinks for friends and starts with a gallon of fruit juice how
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HESI A2

HESI A2 Math Practice Test

1. 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.

2. What is 80% of $500?

Correct answer: D

Rationale: To find 80% of $500, you multiply 0.8 by 500. Therefore, 0.8 x 500 = $400. This means that option D, $400, is the correct answer. Option A, $425, is incorrect because it is higher than the calculated value. Option B, $450, is also higher than the correct answer. Option C, $350, is lower than the calculated value. Hence, the correct answer is D, $400.

3. What number is represented by the Roman Numerals XLIV?

Correct answer: C

Rationale: In Roman numerals, XL represents 40, and IV represents 4. When XL (40) is combined with IV (4), it forms XLIV, which corresponds to the number 44. Therefore, the correct answer is 44. Choice A (34) is incorrect as it does not consider the value of XL and IV. Choice B (54) is incorrect as it miscalculates the value of XL. Choice D (24) is incorrect as it does not account for the value of XL.

4. A person consumed 75 grams of protein. This is 30% of the recommended daily intake (RDI) for protein. How many grams of protein does the person need to consume to meet the full RDI?

Correct answer: A

Rationale: To find the full RDI, divide the amount of protein consumed (75 grams) by 30% (or 0.30): 75 ÷ 0.30 = 250 grams. Therefore, the person needs 250 grams of protein to meet the full RDI. Choice A is correct because it accurately calculates the amount needed to reach the full RDI. Choices B, C, and D are incorrect as they do not correctly calculate the total amount of protein needed based on the given information.

5. Rewrite the following expression as a decimal: 5/8

Correct answer: C

Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 5 ÷ 8 = 0.625. Therefore, the correct answer is 0.625. Choice A (0.7) is incorrect as it represents 7/10, choice B (0.325) is incorrect as it represents 325/1000, and choice D (5.8) is incorrect as it is not the result of dividing 5 by 8.

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