Question

Tane and Pete are raising funds for their sports trip.

Between them they need to raise $1000.
There are only 5 weeks until they need the money.
Tane gets paid $15 an hour, and Pete gets paid $16 an hour as he has more experience.
Between them they work for a total of 13 hours each week.
What is the average number of hours that each of them work per week if they are to have
exactly the amount of money they need?

Answer 1

Answer: Tane needs to work 8 hours per week while Pete needs to work 5 hours per week

Explanation:

T=Tane. P=Pete

5*13=65

T+P=65

15T+16P=1000

T=65-P

15(65-P)+16P=1000

975-15P+16P=1000

975+P=1000

P=25 hours for 5 weeks

T=65-25

T=40 hours for 5 weeks

P: 25/5=5 hours per week

T: 40/5=8 hours per week

Tane needs to work 8 hours per week while Pete needs to work 5 hours per week