Question

Amy and Elizabeth both work in sales. Each week Amy earns $18/h plus a $40 bonus, and Elizabeth earns $12/h plus a $100 bonus.



How many hours must Amy and Elizabeth each work in a week in order to earn the same amount of money? For that many hours, how much money would each earn?



They would each have to work hours(?) , and they would earn (?) $ .

Answer 1

A = 18h + 40
E = 12h + 100

A = E (they make the same)
now sub
18h + 40 = 12h + 100 --- subtract 40 from both sides
18h = 12h + 100 - 40 --- subtract 12h from both sides
18h - 12h = 100 - 40 --- combine terms
6h = 60 -- divide both sides by 6
h = 10

check...
A = 18h + 40 E = 12h + 100
A = 18(10) + 40 E = 12(10) + 100
A = 180 + 40 E = 120 + 100
A = 220 E = 220

SO if they both worked 10 hrs, they would both make $ 220