a lab needs 200ml of a 5 salt solution they only have a 10 solution how much 10 solution and water should be mixed
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HESI A2

HESI A2 Math Portion

1. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?

Correct answer: B

Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =

2. Solve for x. x/250 = 3/500

Correct answer: A

Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A. Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.

3. If he left a tip of $36 on a total bill of $200, what percentage of the total bill did he leave as a tip?

Correct answer: B

Rationale: To determine the tip percentage left, divide the tip amount ($36) by the total bill amount ($200), then multiply the result by 100 to express it as a percentage: (36/200) x 100 = 18%. Therefore, he left an 18% tip on the total bill amount. Choice A (16%) is incorrect because the correct calculation results in 18%. Choice C (20%) and Choice D (22%) are incorrect as they do not match the calculated percentage based on the provided numbers.

4. Express 25 as a fraction in lowest terms.

Correct answer: C

Rationale: To express 25 as a fraction in lowest terms, we write it as 25/1. Then, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. This results in 25/1 = 25/25 = 1 as the whole number part and 0 as the fractional part. Thus, 25 can be expressed as 1¼. Choice A (1⅖) is incorrect as it represents 1 and 2/5, which is not equivalent to 25. Choice B (1½) is incorrect as it represents 1 and 1/2, which is also not equivalent to 25. Choice D is empty and does not provide an answer.

5. Solve for x: x/250 = 3/500

Correct answer: A

Rationale: To solve for x in the equation x/250 = 3/500, you can cross-multiply: x*500 = 3*250. Therefore, 500x = 750. Now, divide both sides by 500: x = 750/500. Simplifying, x = 1.5. Therefore, the correct answer is A, 1.5. Choice B, 25.5, is incorrect as it does not match the correct calculation. Choice C, 1500, is incorrect as it is not the result of solving the equation given. Choice D, 2.5, is incorrect as well, as it does not align with the correct value of x obtained from the equation.

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