a solution is 60 alcohol if 200ml of the solution are used how much pure alcohol is present
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HESI A2

HESI A2 Math 2024

1. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?

Correct answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

2. Rebecca is able to paint 12 pickets on her picket fence in an hour. Her fence is 72 feet long, with 2 pickets per foot. How long will it take her to paint the fence?

Correct answer: B

Rationale: Rebecca can paint 12 pickets in 1 hour, which means she can paint 12 * 2 = 24 pickets in an hour. Since the fence is 72 feet long with 2 pickets per foot, she needs to paint a total of 72 * 2 = 144 pickets. If she paints 24 pickets per hour, it will take her 144 / 24 = 6 hours to paint the entire fence. Choice A (2.4 hours) is incorrect because it does not consider the total number of pickets on the fence. Choice C (12 hours) is incorrect as it overestimates the time needed based on her painting rate. Choice D (16.4 hours) is incorrect as it miscalculates the time required to paint the entire fence.

3. Percent (%) is a way to express a fraction with a denominator of 100. 125% can be expressed as a fraction in lowest terms. Which of the following represents 125% as a fraction?

Correct answer: A

Rationale: Percent (%) represents a value out of 100. To convert 125% to a fraction, it is 125/100. Simplifying 125/100 by dividing both the numerator and denominator by 25 gives us 5/4. Therefore, the correct answer is A. Choice B (1/8), Choice C (5/2), and Choice D (25/2) do not represent 125% as a fraction in lowest terms.

4. Convert the decimal 0.98 to a percent.

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 × 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.

5. Edie has 132 tulip bulbs. She wants to plant all of the tulip bulbs in 12 rows. How many bulbs should she plant in each row?

Correct answer: A

Rationale: To plant 132 bulbs in 12 rows, Edie should plant 11 bulbs in each row. This is calculated by dividing the total number of bulbs by the number of rows: 132 bulbs ÷ 12 rows = 11 bulbs per row. Choice B, 10 bulbs, is incorrect because dividing 132 bulbs by 12 rows does not equal 10. Choice C, 12 bulbs, is incorrect because if Edie plants 12 bulbs in each row, the total number of bulbs planted would exceed 132. Choice D, 15 bulbs, is incorrect as dividing 132 bulbs by 12 rows does not result in 15 bulbs per row.

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