Question

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

Answer 1

Danielle is 7 and her counselor is 21

Explanation:

Let x be the age of Danielle and y be the age of her counselor then:

y=3x

x+y=28

We can solve this using substitution. In this case, substitute 3x for y since y=3x...

x+3x=28

4x=28

Divide both sides by 4 (division property of equality)

x=7

y=3x=3(7)=21

Danielle is 7 and her counselor is 21