Question 576155: A club offers single memberships, couple memberships, and family memberships. The club has sold a total of 1530 memberships. The couple memberships are 38 more than twice the single memberships. The family memberships are 8 less than three times the single ones.
Use s, c, and f to represent single, couple, and family memberships respectively and write a system of three equations that describes this problem.
Solve the system to find the number of memberships in each category.
Answer: the club has sold ………. single memberships, …….. couple memberships, and ……………. family memberships.
Answer by chana(69)   (Show Source):
You can put this solution on YOUR website! A club offers single memberships, couple memberships, and family memberships. The club has sold a total of 1530 memberships. The couple memberships are 38 more than twice the single memberships. The family memberships are 8 less than three times the single ones
sol :
as given : s + c + f = 1530 ----(1)
c = 38 +2s ---------(2)
f = 3s - 8 ---------(3)substituting 2& 3in equation 1 you can get the required value which gives s =300 , f = 892 , c = 338
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