Problema Solution
13. Amy, Sean and Bob work together. In one week, Amy made $40 more than Sean and Bob made $25 more than Amy. Their total earnings are $360. Use an equation to determine how much each person earned for the week.
Answer provided by our tutors
let
x = the money Amy earned
y = the money Sean earned
z = the money Bob earned
Amy made $40 more than Sean
x = y + 40
Bob made $25 more than Amy
z = x + 25
their total earnings are $360
x + y + z = 360
by solving the system of equations
x = y + 40
z = x + 25
x + y + z = 360
we find
x = $125
y = $85
z = $150
Amy earned $125.
Sean earned $85.
Bob earned $150.