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at a local fitness center, members pay a $12 membership fee and $5 for each aerobic class. Nonmembers pay $6 for each aerobic class. for what number of aerobics classes will the cost for member and nonmembers be the same? solve

Sagot :

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.

Answer with Step-by-step explanation:

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