Question

the drama club was selling tickets to their play for $7 per adult ticket and $5 per child ticket and made $350 . They sold 10 more adult tickets than child tickets . Write system of equations that could be used to find the number of adult (A) tickets and child (C) tickets that were sold

Answer 1

• 7a +5c = 350
• a - c = 10

Explanation:

It is convenient to use the variables "a" and "c" for the number of adult tickets and child tickets, respectively. Two equations using these two variables can be written based on the given information:

7a +5c = 350 . . . . total revenue from ticket sales

a - c = 10 . . . . . . . . 10 more adult tickets were sold

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Comment on the question

The solution to these equations is a=33 1/3; c=23 1/3. There is no integer solution. In real-world terms, the given relations cannot exist.