Question

eric and pam are saving money to buy a car. eric has $750 saved and will save an additional $30 per week. pam has $1200 saved and will save an additional $20 per week. write and solve a system of equations to show how many weeks it will take eric and pam to have the same amount of money and how much money they will have

Answer 1

in 45 weeks they will each have $2100

Explanation:

x = number of weeks

y = amount of money saved up

Eric: y = 750 + 30x

Pam: y = 1200 + 20x

1200 + 20x = 750 + 30x

-10x = -450

x = -450/-10 = 45 weeks

Eric: y = 750 + 30x = 750 + 30(45) = 2100

Pam: y = 1200 + 20(45) = 2100