Question

Kiera and Hannah have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Kiera earns a base wage of $6 per hour, as well as $1 for every subscription that she sells. Hannah gets $2 per subscription sold, in addition to a base wage of $4 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? Write a system of equations, graph them, and type the solution

Answer 1

Hannah sold 4

Kiera sold 6

Total Subscriptions = 10

Explanation:

K = number of Kiera subscriptions

H = number of Hannah subscriptions

T = hours

6+K = 4+2H

K = 2H-2

K+H = 10

K= 10-H

substitute for K

2H-2 = 10-H

simplify

3H = 12

H = 4

K = 6