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The school band collected $2,892 for 480 tickets sold to their spring concert. Adult tickets were $8 each and student tickets were $5 each. How many adult tickets were sold? Write and equation. This is an Algebra I question!!!

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Answer:

164 tickets

Explanation:

We can denote number of adult tickets as "y"

Then if number of adult tickets is "y" then number of student tickets can be expressed as (480-y)

We were given Total cost of tickets as ($2892) ............eqn(1) and the cost of adult ticket is $8 per one, and also Cost student ticket $5 per one

the algebra equation can be expressed as :

8y + 5y= 2892

If we substitute eqn (1) we have

8y + 5(480 - y) = 2892

8a + 2400 - 5y = 2892

2892 - 2400= 8y-5y

492=3y

y = 164

Therefore, the number of adult tickets sold is 164

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