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?

Question

oswaldmurphy · Answer

@.Sam. @Archaists @Ciarán95

ciarán95 · Answer

We can set up an equation to represent the problem:

$$31110 = 80x + 60y$$

where x = the number of regular memberships sold and y = the number of off-peak memberships sold. 

We're looking to find the value of x here. We don't know y, but we can replace it with 420 - x, as we are told in the question that 420 memberships are sold overall (x + y = 420).

$$31110 = 80x + 60(420 - x)$$

if you solve this expression for x you should be able to figure out the answer!