A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.

SOLUTION For this problem, we need to use ratio and proportion. We have: $$ \frac{{weight\:on\:earth}_{1}}{{weight\:on\:moon}_{1}}=\frac{{weight\:on\:earth}_{2}}{{weight\:on\:moon}_{2}} $$ Let x be the weight of a person on earth who weighs 15 pounds on the moon. Substituting the values, we have: $$ \frac{200}{32}=\frac{x}{15} $$ Solving for x, we will get: $$ \frac{200}{32}=\frac{x}{15} $$$$ x=\frac{200\left(15\right)}{32} $$ $$ x=93.75 $$ ANSWER: 93.75 pounds