PSAT Math Grid-Ins Question 107: Answer and Explanation
Question: 107
| 0.5 milliliters | essential oil |
| 0.16 liters | rubbing alcohol |
| 0.06 liters | aloe 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.
How many liters of rubbing alcohol are in one dose of this hand sanitizer?
Correct Answer: 0.04
Explanation:
0.04
The question asks for the amount of rubbing alcohol, in liters, in one dose of hand sanitizer, given the values given in the table. The table states that 0.16 liters are needed for one batch of hand sanitizer, and that one batch of this recipe makes 4 doses. To deal with unit conversions, make a proportion. The proportion is 
. Cross-multiply to get 4x = 0.16, and divide both sides of the equation by 4, which gives x = 0.04. The correct answer is 0.04.
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