SOLUTION: At a recreation and sports facility, 3 members and 3 nonmembers pay a total of $180 to take an aerobics class. A group of 5 members and 3 nonmembers pay $210 to take the same clas

Question 131631: At a recreation and sports facility, 3 members and 3 nonmembers pay a total of $180 to take an aerobics class. A group of 5 members and 3 nonmembers pay $210 to take the same class. How much does it cost members and nonmembers to take the aerobics class?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At a recreation and sports facility, 3 members and 3 nonmembers pay a total of $180 to take an aerobics class. A group of 5 members and 3 nonmembers pay $210 to take the same class. How much does it cost members and nonmembers to take the aerobics class?
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Let cost to members be m ; Let cost to nonmembers be "n".
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EQUATIONS:
3m + 3n = 180
5m + 3n = 210
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Subtract the 1st equation from the 2nd to get:
2m = 30
m = $15 (amount members pay)
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Solve for "n":
3m+3n= 180
45 + 3n = 180
15 + n = 60
n = 45 (amount nonmembers pay)
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Cheers,
Stan H.
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