A movie theater charges 7.00 for adults and 2.00 for seniors citizens. On a day when 304 people paid | MathCelebrity Forum

A movie theater charges 7.00 for adults and 2.00 for seniors citizens. On a day when 304 people paid

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A movie theater charges 7.00 for adults and 2.00 for seniors citizens. On a day when 304 people paid for admission, the total receipt were 1118. How many who paid were adults ? How many were senior citizens?

Let a be the number of adult tickets. Let s be the number of senior citizen tickets. We're given two equations:
  1. a + s = 304
  2. 7a + 2s = 1118
We can solve this system of equations three ways:
No matter which way we choose, we end up with the same answer:
  • a = 102
  • s = 202
 
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