a school has 500 students and 60 of them are girls how many girls are there in the school
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HESI A2

HESI A2 Math

1. A school has 500 students, and 60% of them are girls. How many girls are there in the school?

Correct answer: B

Rationale: Correct! To find out how many girls are in the school, you need to calculate 60% of 500. 60% of 500 is 0.6 * 500 = 300. Therefore, there are 300 girls in the school. Choice A (250 girls) is incorrect because 60% of 500 is not 250. Choice C (200 girls) is incorrect as it is less than 300. Choice D (350 girls) is incorrect as it is more than 300.

2. What is 39 ÷ 8 ÷ 7/6?

Correct answer: A

Rationale: To solve the division problem, we need to remember the rule 'Dividing by a fraction is the same as multiplying by its reciprocal.' Therefore, 39 ÷ 8 ÷ 7/6 is equivalent to 39 ÷ 8 × 6/7. Simplifying this gives (39 × 6) ÷ (8 × 7) = 234 ÷ 56 = 56/39. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly simplify the given division problem.

3. Change the following fraction into a ratio: 19/40

Correct answer: A

Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.

4. Change the decimal to a percent: 0.64 =

Correct answer: C

Rationale: To convert a decimal to a percent, multiply by 100. In this case, 0.64 × 100 = 64%. Therefore, the correct answer is C. Choice A (0.64%) is incorrect as it represents the original decimal value in percentage form. Choice B (6.4%) is incorrect as it incorrectly multiplies the decimal value by 10 instead of 100. Choice D (0.064%) is incorrect as it represents the decimal value as a fraction of 1000 instead of 100.

5. Jan canned 5 gallons of homemade tomatoes. She needs to purchase quart jars to finish the process. How many quart jars will she need to buy for her tomatoes?

Correct answer: C

Rationale: To determine the number of quart jars needed, we first need to convert the gallons to quarts. Since 1 gallon equals 4 quarts, 5 gallons will be equal to 5 * 4 = 20 quarts. Therefore, Jan will need to buy 20 quart jars to store her canned tomatoes. Choices A, B, and D are incorrect as they do not correctly convert the gallons to quarts, leading to an incorrect quantity of jars required.

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