Question

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

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