equation form: 5 times the difference of the number of quarters and 3 that Nora has saved

Chris has saved twice the number of quarters that Nora saved plus 6.  The number of quarters that chris saved is also 5 times the difference of the number of quarters and 3 that Nora has saved. Write and solve the equation to find the number of quarters that each has saved.
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1 Answer

Let C be the number of quarters Chris has saved and N be the number of quarters Nora has saved.

So C=2N+6; C=5(N-3).

Therefore 2N+6=5(N-3),

2N+6=5N-15,

21=3N, N=7, therefore C=2N+6=14+6=20; or C=5(N-3)=5(7-3)=20.

Nora has saved 7 quarters and Chris has saved 20.

by Top Rated User (1.2m points)

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