PSAT Math Grid-Ins Question 106: Answer and Explanation

Question: 106

0.5 millilitersessential oil
0.16 litersrubbing alcohol
0.06 litersaloe vera gel

One batch of hand sanitizer can be created using the materials and amounts listed in the table above. A single dose of hand sanitizer is 0.5 ounces and one batch of this recipe makes 4 doses.

Jack used d% of one batch of the hand sanitizer. If this amount contained 0.25 milliliters of essential oil, what is the value of d?

Correct Answer: 50

Explanation:

50

The question asks for a percent based on data. Find the numbers on the table to set up the percent. The question asks what percent of the batch of hand sanitizer Jack used, so the percent is . The table indicates that one batch contains 0.5 mL of essential oil, and Jack used an amount of hand sanitizer that contained 0.25 mL of essential oil. Plug the two values into the percent to get . The correct answer is 50.

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