Question

All of the girls are Danielle's cabin at camp are the same age. Their counselor is 3 times their age. Danielle's age and her counselor's ages at up to 28. Write an equation that can be used to find the ages of Danielle and her counselor.

Answer 1

see the explanation

Explanation:

Let

D -----> Danielle's age

C -----> Counselor's age

we know that

`C=3D` ----> equation A

`D+C=28` ----> equation B

substitute

equation A in equation B

`D+3D=28` ----> equation that can be used to find Danielle's age

Solve for D

`4D=28`

`D=7`

Find the value of C

`C=3D` ----> equation that can be used to find Counselor's age

substitute the value of D

`C=3(7)=21`

therefore

Danielle's age is 7 and Counselor's age is 21