A total of 210 people attended the opening night of a school musical. Student tickets cost 3.00 each while general admission tickets cost 7.50 each. If total sales were $1296, how many general admission tickets were sold?
Need help setting up the equations
f thid dhit
answer is 148
To solve this problem, we need to use a system of equations. Let's define some variables:
Let's say the number of student tickets sold is 's', and the number of general admission tickets sold is 'g'.
Now we can set up the equations based on the given information:
1. The total number of people who attended the opening night is the sum of student and general admission tickets sold:
s + g = 210
2. The total sales amount is the sum of the revenue from student and general admission tickets:
3s + 7.5g = 1296
Now we have a system of equations:
Equation 1: s + g = 210
Equation 2: 3s + 7.5g = 1296
To find the number of general admission tickets sold, we need to solve this system of equations simultaneously.
g+s=210, so s = 210-g
3.00(210-g) + 7.50g = 1296
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