if 3 nurses can care for 15 patients how many nurses are needed for 25 patients
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HESI A2

HESI A2 Math Practice

1. If 3 nurses can care for 15 patients, how many nurses are needed for 25 patients?

Correct answer: B

Rationale: To determine how many nurses are needed for 25 patients, set up a proportion: 3 nurses / 15 patients = x nurses / 25 patients. Cross multiply to solve for x: 3 * 25 = 15 * x. This simplifies to 75 = 15x. Divide both sides by 15 to find x = 5. Therefore, 5 nurses are needed for 25 patients. Choices A, C, and D are incorrect as they do not correspond to the correct calculation based on the given proportion.

2. How many pounds are in 128 ounces?

Correct answer: D

Rationale: The correct answer is D, 8 pounds. There are 16 ounces in a pound. To convert 128 ounces to pounds, you divide 128 by 16, which equals 8 pounds. Choice A, 16 pounds, is incorrect because that would be the conversion the other way around, from pounds to ounces. Choices B and C are incorrect as they do not reflect the correct conversion from ounces to pounds.

3. Donna has 4.2 liters of fertilizer. If each pecan tree needs 0.7 liters of fertilizer and Donna uses all the fertilizer, how many pecan trees does Donna have?

Correct answer: A

Rationale: To find the number of trees, divide the total amount of fertilizer (4.2 liters) by the amount needed for each tree (0.7 liters). 4.2 / 0.7 = 6 trees. Therefore, Donna has 6 pecan trees. Choice A is correct because the calculation is done accurately. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

4. How many pints are there in 4 quarts?

Correct answer: B

Rationale: To convert quarts to pints, we know that 1 quart is equivalent to 2 pints. Therefore, to find out how many pints are in 4 quarts, we multiply 2 pints by 4, which equals 8 pints. Hence, the correct answer is 8 pints. Choice A (2 pints) is incorrect because it represents the conversion of 1 quart, not 4 quarts. Choice C (16 pints) and Choice D (32 pints) are incorrect as they miscalculate the conversion by not considering the correct conversion factor of 2 pints per quart.

5. A runner leaves at 7:45 for a morning run at an average speed of 6 mph and returns at 10:00. How many miles did he run?

Correct answer: D

Rationale: The runner left at 7:45 and returned at 10:00, which means he ran for 2 hours and 15 minutes (10:00 - 7:45). At an average speed of 6 mph, in 2.25 hours, he would have covered 6 mph * 2.25 hours = 13.5 miles. Therefore, the correct answer is 13.5 miles. Choices A, B, and C are incorrect because they incorrectly calculate the distance based on the time and speed provided in the question.

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