gus is making a chili recipe that calls for three parts beans to five parts ground beef if he is using 8 cups of ground beef for a big family dinner h
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HESI A2

HESI A2 Math 2024

1. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?

Correct answer: B

Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.

2. What number is 98 175% of?

Correct answer: D

Rationale: To find the number that 98 is 175% of, we can set up the equation: x = 1.75 * x. By solving this equation, we get x = 56. Therefore, 98 is 175% of 56. Choice D, 56, is the correct answer as it represents the number that satisfies the given condition. Choices A, B, and C are incorrect as they do not result in 98 when multiplied by 1.75.

3. What is the result of adding 6 3/4 + 8 1/6?

Correct answer: A

Rationale: To add mixed numbers, convert them to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, add the fractions to get 27/4 + 49/6 = 162/24 + 98/24 = 260/24 = 21 20/24 = 21 10/12 = 21 5/6 = 14 11/12. Therefore, the correct answer is 14 11/12. Choice B (12 3/4) is incorrect as it does not match the correct calculation. Choice C (12 3/24) is incorrect due to the erroneous denominator in the final fraction. Choice D (14 2/5) is incorrect as it does not correspond to the correct sum of the fractions.

4. A gross is equal to 12 dozen. If Lanyard Farms sells 15 gross of eggs a week and packages them in one dozen egg containers, how many containers do they need for a week’s worth of eggs?

Correct answer: C

Rationale: Given that a gross is equal to 12 dozen, 15 gross of eggs would be equal to 15 * 12 = 180 dozen eggs. Since the eggs are packaged in one dozen egg containers, Lanyard Farms would need 180 containers for a week's worth of eggs. Choice A (15) is incorrect as it represents the number of gross, not containers. Choice B (150) is incorrect as it miscalculates the total number of containers needed. Choice D (2,160) is incorrect as it overestimates the number of containers required.

5. What is 70% of 65?

Correct answer: B

Rationale: To find 70% of 65, you multiply 0.7 by 65. Mathematically, 0.7 * 65 = 45.5. Therefore, the correct answer is 45.5. Choice A (40.5) is incorrect because it is not the result of multiplying 0.7 by 65. Choice C (50) is incorrect as it is higher than the correct answer. Choice D (55) is also higher than the correct result and is therefore incorrect.

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