Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy a

Question

2 years ago

12

nd Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?

1 answer:

Natali [406] · Answer 1 · 2022-10-16T12:02:20+03:00

Answer:

2 hours

Suzy would earn $40

Bill will earn $40

they will both earn $80

Step-by-step explanation:

The total amount suzy earns is a function of the total hours worked. Let t represent time

total income of suzy = $20t eqn 1

Bill's income = starting bonus + variable pay

= $20 + $10t

We are looking for when they would earn the same amount :

20t = $20 + $10t eqn 2

collect like terms and solve for t

10t = $20

t = 2 hours

Substitute for t in either eqn 1 or 2

20(2) = $40

Suzy would earn $40

Bill will earn $40

they will both earn $80