at the book sale geoff paid 35 cents apiece for 5 paperbacks and 50 apiece for 3 hardcover books he gave the clerk a 10 bill how much change did he re
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HESI A2

HESI A2 Math 2024

1. At the book sale, Geoff paid 35 cents apiece for 5 paperbacks and $50 apiece for 3 hardcover books. He gave the clerk a $10 bill. How much change did he receive?

Correct answer: B

Rationale: Geoff paid a total of 5 paperbacks x $0.35/paperback + 3 hardcover books x $50/hardcover book = $1.75 + $150 = $8.75. Since he gave the clerk a $10 bill, he received $10 - $8.75 = $1.25 change. However, since the options are in increments of $0.25, the closest amount is $0.75, so Geoff received $0.75 change. Option A is incorrect because it's not the closest amount to the actual change. Option C is incorrect as it represents the total change Geoff received, not the closest increment. Option D is incorrect as it overestimates the change Geoff received.

2. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 44 lb. How many tablets will you give?

Correct answer: A

Rationale: First, convert the child's weight from pounds to kilograms: 44 lb ÷ 2.2 = 20 kg. Next, calculate the required dosage: 20 kg × 20 mg/kg = 400 mg. Since each tablet contains 80 mg, divide the total dosage by the dosage per tablet: 400 mg ÷ 80 mg/tablet = 5 tablets. Therefore, the correct answer is 5 tablets. Choice B is incorrect because it does not account for the actual number of tablets needed. Choice C is incorrect as it is an underestimation of the required tablets. Choice D is incorrect as it is an underestimation of the required tablets.

3. How many chickens are needed to produce 24 eggs in 24 hours if it takes 2 chickens to produce 6 eggs in 24 hours?

Correct answer: A

Rationale: To produce 24 eggs in 24 hours, 4 times the number of chickens needed to produce 6 eggs is required. Since it takes 2 chickens to produce 6 eggs, 8 chickens are needed to produce 24 eggs in the same time frame. Choice B, 12 chickens, is incorrect because it doesn't consider the proportionality between chickens and eggs. Choice C, 18 chickens, is incorrect as it overestimates the number of chickens needed. Choice D, 6 chickens, is incorrect as it doesn't account for the increased number of eggs required.

4. What is the result of dividing 40.3 by 4.8?

Correct answer: D

Rationale: When dividing 40.3 by 4.8, the correct result is approximately 8.4. To obtain this result, you can perform the division 40.3 ÷ 4.8 = 8.395833... which rounds to 8.4. The other choices, A, B, and C, are incorrect. Choice A, 0.084, is incorrect as it is not the result of the division provided. Choice B, 84, is incorrect as it is the result of multiplying 40.3 and 4.8 instead of dividing them. Choice C, 0.84, is incorrect as it is not the correct result when dividing 40.3 by 4.8. It is crucial for individuals in various professions to be precise in mathematical calculations for tasks such as accurate medication administration and dosage measurements. Therefore, the correct answer is D, 8.4.

5. Ratio and proportion 1.2:x=14:42.

Correct answer: D

Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 ​ =3.6

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