Genny babysits for two different families. One family paints her $6 an hour and a bonus of $20 at the end of the night. The other family pays her $3 every half hour and a bonus of $25 at the end of the night. Write and solve the system of equations that represent this situation. At what number of hours do the two families pay the same for the babysitting services from Genny?

Answer 1

The two families pay the same per hour. $6 an hour is the same as $3 for half an hour. The only difference is the bonus.

It doesn't make any difference how many hours each work.

Answer 2

6x-20=y
3x-25=y