if a party planner assumes 2 bottles of sparkling water per 5 guests how many bottles must she purchase for a party of 145
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HESI A2

HESI A2 Math 2024

1. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?

Correct answer: D

Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.

2. 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.

3. The physician orders 60 mg of Augmentin; 80 mg/mL is on hand. How many milliliters will you give?

Correct answer: C

Rationale: To find the volume required, divide the prescribed dose (60 mg) by the concentration available (80 mg/mL): 60 mg ÷ 80 mg/mL = 0.75 mL. Therefore, 0.75 mL is the correct amount to administer. Choice A (1 ml) is incorrect as it does not consider the concentration of the solution. Choice B (0.5 ml) is incorrect as it is half the correct amount. Choice D (1.25 ml) is incorrect as it is more than the calculated correct amount.

4. Solve for y if y = 3: 4y + 21/y

Correct answer: A

Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.

5. Sally eats 3/5 of her lunch. John eats 75%. Who ate more?

Correct answer: A

Rationale: To compare, convert both to decimals or percentages: Sally ate 3/5, which is 0.6 or 60%. John ate 75%. Since 75% is greater than 60%, John ate more than Sally. Thus, the correct answer is A. John. Choice B is incorrect because Sally ate a smaller percentage of her lunch compared to John. Choice C is incorrect as the percentages consumed are different. Choice D is incorrect as one of them ate more.

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