a store is offering a 25 discount on all items if an item costs 120 what is the discounted price
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HESI A2

HESI A2 Math

1. A store is offering a 25% discount on all items. If an item costs $120, what is the discounted price?

Correct answer: A

Rationale: To calculate the discounted price after a 25% discount on $120, you first find the discount amount by multiplying $120 by 0.25, which equals $30. Subtracting the discount amount from the original price gives the discounted price: $120 - $30 = $90. Therefore, the correct answer is $90. Choice B, $80, is incorrect as it does not consider the 25% discount. Choice C, $75, is incorrect as it is lower than the correct calculation. Choice D, $95, is incorrect as it does not reflect the reduction from the discount.

2. If the regular price of a bar is $2.50, how much do you save per bar if you purchase a value pack of 8 bars for $20?

Correct answer: B

Rationale: To determine how much you save per bar when buying a value pack of 8 bars for $20, calculate the individual price per bar by dividing the total price by the number of bars: $20 ÷ 8 = $2.50 per bar. When the pack price is lower than the individual price, you save money. The saving per bar is found by subtracting the pack price from the individual price: $2.50 (individual price) - $2.50 (pack price) = $0.40. Therefore, you save 40 cents per bar by purchasing the value pack. Choice A, 15¢, is incorrect because the actual saving is $0.40. Choice C, 75¢, is incorrect as it doesn't match the calculated saving. Choice D, $1.20, is incorrect as it is not the actual amount saved per bar.

3. A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?

Correct answer: C

Rationale: The correct answer is C: Early afternoon to bedtime. The healthcare professional's work hours from 1300 to 2000 correspond to 1 PM to 8 PM, indicating work during the afternoon and early evening. Choice A (Early morning to early afternoon) is incorrect because the professional works in the afternoon and early evening, not the morning. Choice B (Lunchtime to midnight) is incorrect as the professional finishes work before midnight, not until midnight. Choice D (Midnight to sunrise) is incorrect as the professional's work hours are during the daytime and evening, not overnight.

4. Subtract 20.7 - 13.4.

Correct answer: C

Rationale: The correct answer is 7.3. To subtract 13.4 from 20.7, you align the decimal points and subtract each place value: 0.7 - 0.4 = 0.3, and 2 - 1 = 1. Therefore, 20.7 - 13.4 = 7.3. Choices A, B, and D are incorrect because they do not provide the accurate result of this subtraction.

5. If Gwen's favorite summer drink is 2 parts fruit juice to 3 parts seltzer and she starts with a gallon of fruit juice, how many quarts of seltzer will she need?

Correct answer: D

Rationale: To maintain the ratio of 2 parts fruit juice to 3 parts seltzer, for every 2 parts of fruit juice, Gwen will need 3 parts of seltzer. Since a gallon of fruit juice is equivalent to 4 quarts, she will need 3 quarts of seltzer for every 2 quarts of fruit juice. For 4 quarts of fruit juice, she will require 6 quarts of seltzer. Therefore, Gwen will need 6 quarts of seltzer to make the summer drink for her friends. Choice A (3 quarts) is incorrect because it does not account for the correct ratio. Choice B (4.5 quarts) is incorrect because it is not a whole number and does not align with the ratio provided. Choice C (5 quarts) is incorrect as it does not match the proportional ratio of fruit juice to seltzer required.

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