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.

Accepted Solution

Answer:see the explanationStep-by-step explanation:LetD -----> Danielle's ageC -----> Counselor's agewe know that[tex]C=3D[/tex] ----> equation A[tex]D+C=28[/tex] ----> equation Bsubstituteequation A in equation B[tex]D+3D=28[/tex] ----> equation that can be used to find Danielle's ageSolve 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 agesubstitute the value of D[tex]C=3(7)=21[/tex] thereforeDanielle's age is 7 and Counselor's age is 21