Question

At one summer camp, there is a ratio of 8 campers per counselor. Which of the following is a possible actual number of counselors and campers at the camp?

a) 9:126
b) 12:96
c) 16:208
d) 24:216

Answer 1

The possible actual number of counselors and campers at the camp with the ratio of 8 campers per counselor is option b) 12:96.

Step-by-step explanation:

To find a possible number of counselors and campers at the camp based on the ratio of 8 campers per counselor, we must ensure that the number of campers is precisely 8 times the number of counselors. We can test each of the given options by dividing the number of campers by the number of counselors to see if the result is 8.

• Option a) 9:126 - Dividing 126 by 9 gives us 14, which is not 8. So, option a) is not correct.
• Option b) 12:96 - Dividing 96 by 12 gives us exactly 8, which meets the ratio requirement. Therefore, option b) is correct.
• Option c) 16:208 - Dividing 208 by 16 gives us 13, which is not 8. So, option c) is not correct.
• Option d) 24:216 - Dividing 216 by 24 gives us 9, which is not 8. So, option d) is not correct.

The only option that has the correct ratio of 8 campers per counselor is Option b) 12:96.