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A community center sells a total of 297 tickets for a basketball game. An adult ticket costs $4. A student ticket costs $1. The sponsors collect $582 in ticket sa number of each type of ticket sold

1 Answer

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Final answer:

To find the number of adult tickets and student tickets sold, set up a system of equations using 'a' and 's'. Solve the system to find that 69 adult tickets and 228 student tickets were sold.

Step-by-step explanation:

To find the number of adult tickets and student tickets sold, we can set up a system of equations. Let's assume that the number of adult tickets sold is represented by 'a' and the number of student tickets sold is represented by 's'.

We know that the total number of tickets sold is 297, so we can write the equation a + s = 297.

We also know that the total revenue from adult tickets ($4 each) and student tickets ($1 each) is $582, so we can write the equation 4a + 1s = 582.

Solving this system of equations, we can find that 69 adult tickets and 228 student tickets were sold.

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User WisZhou
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