A gym offers regular memberships for $80 per month and off-peak memberships for $60 per month. Last month, the gym sold a total of 420 memberships for a total of $31,100. How many memberships sold were regular memberships?
2 Answers
295 tickets sold at regular price and 125 sold at concessional price.
Explanation:
Number of tickets sold at regular rate =
Tickets sold at concession =
Last month,
Explanation:
The trick to solving problems like this is to find a way to express BOTH kinds of information in the problem:
1) Find a way to write the NUMBER of each kind of membership
2) Then find a way to express the VALUE of both kinds of memberships
1) Find a way to express the NUMBER of each kind of membership
Let
Then all the rest of the memberships are for
2) Find a way to express the VALUE of each kind of membership
3) Together, these memberships have a value of
[$80 memberships] "plus" [$60 memberships] "equals" [$31,100]
[ . . . . . . .
4) Write the equation and solve for x
Solve for
1) Divide all the terms on both sides by 10 to make the numbers smaller
2) Divide all the terms on both sides by 2 to make the numbers even smaller
3) Clear the parentheses by distributing the 3
4) Combine like terms
5) Subtract 1260 from both sides to isolate
Answer:
Last month,
Check
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Total . . . . . . . . . . . . . . . . . . . . . . . . .