Question

Sandy charges each family that she babysits a flat fee of 10$ for the night and an extra 5$ per child kimmi charges 25$ per night no matter how many children a family has

write a two step equation that would compare what the two girls charge and find when their fees are the same

Answer 1

Sandy's cost equation is y = 5x + 10 where y = cost and x = number of children.
Kimmi's cost equation is y = 25 where y = cost.
The fees are the same when x = 3 in other words when Sandy babysits 3 children.
That is found by solving 5x + 10 = 25 for x.
Subtract 10 from each side: 5x = 15
Divide by 5 on both sides: x = 3