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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.

Respuesta :

calculista

Answer:

see the explanation

Step-by-step explanation:

Let

D -----> Danielle's age

C -----> Counselor's age

we know that

[tex]C=3D[/tex] ----> equation A

[tex]D+C=28[/tex] ----> equation B

substitute

equation A in equation B

[tex]D+3D=28[/tex] ----> equation that can be used to find Danielle's age

Solve for D

[tex]4D=28[/tex]

[tex]D=7[/tex]

Find the value of C

[tex]C=3D[/tex]  ---->  equation that can be used to find Counselor's age

substitute the value of D

[tex]C=3(7)=21[/tex]

therefore

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

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