SOLUTION: how do i do this question please explain. Gray trained 32 more dogs than john. Together they trained 126 dogs. how many dogs did gray train.

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Question 233483: how do i do this question please explain.
Gray trained 32 more dogs than john. Together they trained 126 dogs. how many dogs did gray train.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let G = number of dogs gray trained.
let J = number of dogs john trained.
G + J = 126

G = J + 32

Replace G with J + 32 in the first equation to get:

J + 32 + J = 126

Combine J to get:

2J + 32 = 126

Subtract 32 from both sides to get:

2J = 126 - 32 = 94

Divide both sides by 2 to get

J = 47

G = J + 32 = 47 + 32 = 79

J + G = 47 + 79 = 126

Your answer is:

Gray trained 79 and John trained 47