Question

A group of students is working in a booth to support their community center. The amount of time each student works is in a ratio according to their ages. Abby is 16 years old. Kiaya is 12 years old. If Abby works 120 minutes, how many minutes does Kiaya work?

A. 120 minutes
B. 100 minutes
C. 80 minutes
D. 60 minutes

Answer 1

Kiaya works for 90 minutes.

Step-by-step explanation:

To find the number of minutes Kiaya works, we need to set up a ratio of Abby's age to Kiaya's age and the amount of time Abby works to the amount of time Kiaya works. Abby is 16 years old and works 120 minutes, while Kiaya is 12 years old and we want to find how many minutes she works.

Abby's age ratio = Kiaya's age ratio = 16/12.

To find the number of minutes Kiaya works, we can set up the ratio proportionally:

16/12 = 120/x, where x is the number of minutes Kiaya works.

Cross multiplying, we have 16x = 12 * 120.

Simplifying, 16x = 1440. Dividing both sides by 16, we find x = 90.

Therefore, Kiaya works 90 minutes.