Question

Ayana and Victor have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Ayana earns a base wage of $12 per hour, as well as $1 for every subscription that she sells. Victor gets $4 per subscription sold, in addition to a base wage of $6 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? How much would each one earn?

Answer 1

2

$14

Explanation:

Let x = number of subscriptions sold

Total income of Ayana per hour = $12 + $1x

Total income of Victor per hour = $6 + $4x

To find the number of subscriptions that would equate their incomes :

$12 + $1x = $6 + $4x

Collect like terms

$12 - $6 = $4x - $1x

$6 = $3x

Solve for x

x = $2

The subscription that would equate their income would be $2.

The income each would earn = $12 + $1(2) = $14