a recent census of visitors to a popular beach showed that there was a ratio of 616 surfers to swimmers which of the following is a possible actual nu
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HESI A2

HESI A2 Math 2024

1. A recent census of visitors to a popular beach showed that there was a ratio of 6:16 surfers to swimmers. Which of the following is a possible actual number of surfers and swimmers at the beach?

Correct answer: B

Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.

2. A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?

Correct answer: B

Rationale: Rationale: 1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL. 2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units. 3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units. Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.

3. How many gallons are in 576 fluid ounces?

Correct answer: A

Rationale: To convert fluid ounces to gallons, you need to know that there are 128 fluid ounces in a gallon. To find how many gallons are in 576 fluid ounces, divide 576 by 128, which equals 4.5 gallons. Since we are looking for the closest whole number, the answer is 4 gallons. Choice A is correct. Choice B, C, and D are incorrect as they do not accurately represent the conversion from fluid ounces to gallons.

4. What is 40% of 150?

Correct answer: A

Rationale: To find 40% of 150, you multiply 150 by 0.40 (which represents 40% in decimal form). This calculation results in 60. Therefore, choice A, 60, is the correct answer. Choice B (65), choice C (70), and choice D (85) are incorrect as they do not reflect the accurate calculation for finding 40% of 150.

5. Find x if 40:5 = 60:x.

Correct answer: B

Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.

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