Question

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

Answer 1

Answer:

Let's set David's score to D, and Aaron's score to A. If so, we get the equation that satisfies the constraints:

D = 3*A-5, D + A = 215

Set D in terms of A:

D = 215 - A

Input it into the equation:

215 - A = 3*A - 5 -> add 5 and A to both sides to set numbers to the left and variables to the right

215 + 5 = 3* A + A ->

220 = 4A -> divide by 4

220/4 = A ->

55 = A -> substitute A into D + A = 215

D + 55 = 215 -> subtract 55 from both sides

D = 215 - 55 = 160

So, out final answer is:

D = 160, A = 55

Step-by-step explanation:

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