Question

Adriana and Sophie have summer jobs selling newspaper subscriptions door-to-door, but their

compensation plans are different. Adriana earns a base wage of $6 per hour, as well as $2 for
every subscription that she sells. Sophie gets $3 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 much would each one earn?
Write a system of equations, graph them, and type the solution.

Answer 1

The each have to place 2 subscriptions

Explanation:

Adriana

E (earnings) = 6 + 2*x where x is the number of subscriptions

Sophie

E (earnings) = 4 + 3x

For them to earn the same amount, their right sides must be equated.

4 + 3x = 6 + 2x Subtract 2x from both sides

4 + 3x - 2x = 6+ 2x - 2x Combine

4 + x = 6 Subtract 4 from both sides

4 - 4 + x = 6 - 4

x = 2