How do you solve this?

Question

A school is selling tickets and it's 5 dollars for main level seating and 2 dollars for upper level seating. They sell 250 tickets. They make 1001 dollars. How many upper level seating tickets did they sell?

Answer 1

What are the two equations you can derive from the problem?

 

m + u = 250

5m + 2u = 1001

 

simplest method to solve is to solve the first equation for u and substitute that value into the second equation.

 

u = 250 - m

 

5m + 2(250 - m) = 1001

5m + 500 - 2m = 1001

3m = 501

m = 167

 

now substitute that value into the first equation

 167 + u = 250

u = 250 - 167 = 83

 

confirm by substituting the two values into the second equation

5(167) + 2(83) = 1001

835 + 166 = 1001