SOLUTION: Tickets for a school play sells for $8 for floor seats and $6 for balcony seats. For one performance 72 tickets were sold it brought in $516. How may of each ticket was sold

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Question 337019: Tickets for a school play sells for $8 for floor seats and $6 for balcony seats. For one performance 72 tickets were sold it brought in $516. How may of each ticket was sold
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let F be the number of floor seats,B the number of balcony seats.
1.F%2BB=72
.
.
8F%2B6B=516
2.4F%2B3B=258
From eq. 1,
F=72-B
Substitute into eq. 1,
4%2872-B%29%2B3B=258
288-4B%2B3B=258
-B=-30
highlight%28B=30%29
Then from eq. 1,
F%2B30=72
highlight%28F=42%29