SOLUTION: Football tickets cost $4 for a reserved seat and $3 for general admission. The total gate receipts for a game at which 217 tickets were sold was $726. how many of each type were so

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Question 1172841: Football tickets cost $4 for a reserved seat and $3 for general admission. The total gate receipts for a game at which 217 tickets were sold was $726. how many of each type were sold.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
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Hi  

 Let x represent number of reserved seating tickets  and y the number of general admission tickets    

Write as You read:

x + y = 217

$4x + $3y = $726

Substitute

$4x + $3(217 - x) = $726

x = 75

x = 75 number of reserved seating tickets sold

y = 142 the number of general admission tickets sold   

CHECKING our answer***

$4(75) + $3(142) = $300 + $426 = $726  checks

Wish You the Best in your Studies.