Question

a summer camp’s policy states that there must be 3 camp counselors for every field trip. additionally, there must be 2 assistants for every 10 campers on the trip. if c campers will be going on the field trip, which of the following represents the number of assistants that will be required? a) c/5 b) 5c c) 10c + 2 d) 2c + 10 e) 5c + 2

Explanation:

Step1: Analyze the assistant - camper ratio

The problem states there are 2 assistants for every 10 campers. So the ratio of assistants to campers is $\frac{2}{10}$.

Step2: Calculate number of assistants for c campers

To find the number of assistants for $c$ campers, we multiply the number of campers $c$ by the ratio of assistants to campers. So the number of assistants $A=\frac{2}{10}\times c$.
Simplify $\frac{2}{10}$ to $\frac{1}{5}$, so $A = \frac{c}{5}$.

Answer:

A) $\frac{c}{5}$