lizzieshrunk
Answered

Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How much did each of them earn?

AWrite a system of two equations with two variables to model this problem.
BUse substitution or the elimination method to solve the system.
CGraph both equations.
DAnswer the question.

Verified Answer :

TaylorMccoyKo

200 for Seiji, and 225 for Gavin.

Let the money Seiji got be x and Gavin, y.

Total is 425.

So, x + y = 425

Gavin got 25 more than Seiji.

So, y = x + 25

I will use substitution method.

Substitute y = x + 25 in x + y = 425.

x + x + 25 = 425

2x + 25 = 425

2x = 400

x=$200


So, x is Seiji and he got $200.

For Gavin, substitute x in the equation of y.

y = x + 25

y = 200 + 25

y = $225

So, y is Gavin and he got $225.

For the graph part, I don't know how to show you. Hope you will be able to do the rest by yourself. If you need help with graphing, you may use desmos.com

Related Questions