4. 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?

a. Write a system of two equations with two variables to model this problem.

b. Use substitution or the elimination method to solve the system

Question

Mathematics

Maren Raymond

18 August, 07:47

4. 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?

a. Write a system of two equations with two variables to model this problem.

b. Use substitution or the elimination method to solve the system

+3

Answers (2)

Know the Answer?

Dax Simpson · Answer 1

S+g=425

g=s+25

(subsisute)

s+s+25=425

2s+25=425

(subtract 25)

2s=400

(divide by 2)

s=200

(subsisute)

g=200+25

g=225

seiji=200

gavin=225

Donte Luna · Answer 2

System of equations: x+y=425

x-y=-25

1. Cancel out the y in both equations, combine 425 and - 25, and combine the x terms together. 2x=400

2. Divide each side of the equation by 2. x=200

Seiji earned $200 and Gavin earned $225

4. 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?a. Write a system of two equations with two variables to model this problem.b. Use substitution or the elimination method to solve the system