stu purchased a set of 6 cups and 6 plates at a garage sale the cups were 25 cents apiece and the plates were 75 cents apiece if stu paid with a 10 bi
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HESI A2

HESI A2 Math 2024

1. Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents each, and the plates were 75 cents each. If Stu paid with a $10 bill, how much change was he owed?

Correct answer: C

Rationale: Stu purchased 6 cups at 25 cents each, totaling $1.50 (6 cups x $0.25 = $1.50). He also bought 6 plates at 75 cents each, totaling $4.50 (6 plates x $0.75 = $4.50). Therefore, the total cost of the cups and plates is $1.50 + $4.50 = $6. Stu paid with a $10 bill, so the change he was owed is $10 - $6 = $4. Stu was owed $4 in change. The correct answer is $5, not $4 as he was owed that amount. Option A, $4, is incorrect as it miscalculates the change amount. Option B, $4.50, is incorrect as it does not consider the correct total cost. Option D, $5.50, is incorrect as it overestimates the change Stu was owed.

2. Multiply: 15 × 14 = and express the result in decimal form.

Correct answer: D

Rationale: To find the product of 15 and 14, you multiply the two numbers together. 15 multiplied by 14 equals 210. When written in decimal form, it is 2.1. Therefore, the correct answer is 2.1, which corresponds to option D. Choices A, B, and C are incorrect as they reflect values much smaller than the actual product of 15 and 14, which is 210, equivalent to 2.1 in decimal form.

3. What percentage of her income is left after Mary spent 15%?

Correct answer: B

Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.

4. Convert 5 3/4 to a decimal. Round it to the nearest tenth.

Correct answer: D

Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Choice A, 5.75, is the exact conversion before rounding, so it is incorrect. Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding. Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation. Therefore, the correct answer is 5.8.

5. After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?

Correct answer: A

Rationale: To determine how much money the shopper has left, add the amounts spent: $75.64 + $22.43 = $98.07. Then, subtract the total spent from the starting amount: $100.00 - $98.07 = $1.93 left. Therefore, choice A, $1.93, is the correct answer. Choice B, $5.00, is incorrect because it does not reflect the correct calculation. Choice C, $0.72, is incorrect as it does not consider the total amount spent. Choice D, $20.13, is incorrect because it does not reflect the remaining amount after the expenses.

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