Question

last summer at Gilliam Grant day camp the ratio of the number of counselors to the number of campers was 3 : 11. if there were a total of 168 people at the camp including counselors and campers how many counselors were there? how many campers were there?explain

Answer 1

Answer: the number of counselors is 312 = 36, and the number of campers is 1112 = 132

Explanation:

To determine the number of counselors and campers at Gilliam Grant day camp, we can use the information provided in the ratio: 3 : 11.

This ratio tells us that for every 3 counselors, there are 11 campers. To find the total number of counselors and campers, we can set up the following equation using the information provided:

3x + 11x = 168 (x represents the number of counselors or campers)

14x = 168

x = 12

So the number of counselors is 312 = 36, and the number of campers is 1112 = 132

We can also check that the total number of counselors and campers is equal to 168 by adding 36 + 132 = 168