Make an equation:
5x+12=6x
Use the subtraction property:
x=12
The final answer is that the cost for members and nonmembers will be the same when there have been 12 classes.
Members pay a $12 membership fee and $5 for each aerobic class.
i.e. if x is the number of aerobic classes then,
Members have to pay=5x+12
Nonmembers pay $6 for each aerobic class.
i.e. if x is the number of aerobic classes then,
Non members have to pay=6x
We have to determine the number of classes so that they both have to pay same amount
i.e. we have to find the value of x in
6x=5x+12
Subtracting both sides by 5x, we get
x=12
Hence, for 12 classes members and nonmembers have to pay the same amount