at the bake sale josie bought 3 brownies for 35 apiece she paid with a 5 bill what change did she receive
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HESI A2

HESI A2 Math 2024

1. At the bake sale, Josie bought 3 brownies for $35 each. She paid with a $5 bill. What change did she receive?

Correct answer: B

Rationale: Josie bought 3 brownies for $35 each, totaling $3 x $35 = $105. She paid with a $5 bill, so the change she received would be $105 - $5 = $100. Therefore, Josie received $100 in change, which is equivalent to $0.95. Choice A, $0.85, is incorrect because the change is $100, not $0.85. Choice C, $1.05, is incorrect as it is not the correct change for the transaction. Choice D, $1.15, is incorrect as it does not accurately reflect the change Josie received.

2. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?

Correct answer: C

Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.

3. Solve for x: x/5 = 3/10.

Correct answer: D

Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 × 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.

4. How many ounces are in 1.5 quarts?

Correct answer: C

Rationale: To convert quarts to ounces, you multiply the number of quarts by the conversion factor of 32 (since there are 32 ounces in a quart). Therefore, 1.5 quarts is equal to 1.5 x 32 = 48 ounces. The correct answer is 48 ounces. Choice A (32 ounces) is incorrect as it represents the amount of ounces in 1 quart, not 1.5 quarts. Choice B (16 ounces) is incorrect as it is half the amount of ounces in 1 quart. Choice D (64 ounces) is incorrect as it represents the amount of ounces in 2 quarts, not 1.5 quarts.

5. A worker in a warehouse ships 9 boxes each day. If every box must contain 3 shipping labels, how many shipping labels does the worker need each day?

Correct answer: B

Rationale: To find the total number of shipping labels needed, multiply the number of boxes by the labels per box: 9 boxes * 3 labels per box = 27 labels. Therefore, the worker needs 27 shipping labels each day. Choice A, 24 labels, is incorrect because it results from multiplying 9 boxes by 3 labels without calculating the correct total. Choice C, 20 labels, is incorrect as it underestimates the total number of labels needed. Choice D, 30 labels, is incorrect as it overestimates the total by multiplying incorrectly.

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