David and Aaron bowling scores

Question

David's bowling score is 3 less than 5 times Aaron's score. The sum of their scores is 215. Find the score of each student.

Answer 1

D = 5A - 3

D + A = 215

Let's substitute equation 1 into equation 2.

(5A-3) + A = 215

6A - 3 = 215

6A = 218

A = 36.33

D + A = 215

So if A = 36.33, then D = 178.67. And we see that David's score is 3 less than 5 times Aaron's score.