Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks Marcy and Vicky have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different . Marcy earns a base wage of $7 per hour, as well as $2 for every subscription that she sells. Vicky gets $3 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 much would each one earn? How many subscriptions would that be? Marcy and Vicky will each earn if they sell subscriptions in an hour.

1 answer

Let x be the number of subscriptions sold in an hour.

For Marcy:
Total earnings = 7x + 2x

For Vicky:
Total earnings = 6 + 3x

Setting the total earnings equal to each other:
7x + 2x = 6 + 3x
7x + 2x - 3x = 6
6x = 6
x = 1

So, Marcy and Vicky will each earn $9 if they sell 1 subscription in an hour.