the recipe states that 4 cups of sugar will make 144 cookies how many cups of sugar are needed to make 90 cookies
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HESI A2

HESI A2 Math Practice Test 2024

1. The recipe states that 4 cups of sugar will make 120 cookies. How many cups of sugar are needed to make 90 cookies?

Correct answer: A

Rationale: To find out how many cups of sugar are needed for 90 cookies when 4 cups make 120 cookies, set up a proportion: 4/120 = x/90. Cross multiply to get 120x = 4 * 90. Solve for x to find x = 360/120 = 3. Therefore, 3 cups of sugar are needed for 90 cookies. Choice B (2 cups), Choice C (1.5 cups), and Choice D (4 cups) are incorrect because they do not align with the correct proportion calculation. The correct calculation shows that 3 cups of sugar are required for 90 cookies, as the recipe proportionally reduces when making fewer cookies.

2. Donald earns 8% of the selling price of each house he sells. If he sells a house for $152,000, how much does he earn?

Correct answer: B

Rationale: To calculate how much Donald earns from selling a house for $152,000 at an 8% commission rate, we multiply the selling price by the commission rate: $152,000 x 0.08 = $12,160. Therefore, he earns $12,160. Choice A, $12,160, is the correct answer as calculated. Choices C and D are incorrect amounts as they do not result from the given information. Choice C, $19,000, is significantly higher than the correct calculation, and choice D, $21,600, is the result of incorrectly adding the commission to the selling price instead of calculating the commission earned.

3. How many ounces are in 1.5 quarts?

Correct answer: C

Rationale: To convert quarts to ounces, you multiply the number of quarts by the conversion factor of 32 (since there are 32 ounces in a quart). Therefore, 1.5 quarts is equal to 1.5 x 32 = 48 ounces. The correct answer is 48 ounces. Choice A (32 ounces) is incorrect as it represents the amount of ounces in 1 quart, not 1.5 quarts. Choice B (16 ounces) is incorrect as it is half the amount of ounces in 1 quart. Choice D (64 ounces) is incorrect as it represents the amount of ounces in 2 quarts, not 1.5 quarts.

4. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?

Correct answer: D

Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.

5. Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?

Correct answer: C

Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.

Similar Questions

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