SOLUTION: Please help me solve and fill in the blanks: Eddy has a ticket to every home game the St. Louis Cardinals play. If he sells his ticket for a weekday game, he gets $120. If he

Question 1043741: Please help me solve and fill in the blanks:

Eddy has a ticket to every home game the St. Louis Cardinals play. If he sells his ticket for a weekday game, he gets $120. If he sells his ticket for a weekend game, he gets $250. Last year, Eddy sold his tickets to 23 games and made a total of $3,540 from selling his tickets.
Complete the following sentences.
Eddy sold ___ tickets to weekday games and ___ tickets to weekend games. Next year, Eddy plans to sell his tickets for the same prices, but to twice as many weekday games and one-third as many weekend games. According to this plan, he will sell ___ tickets to weekend games and make a total of $___.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=weekday
y=weekend
x+y=23
120x+250y=3540
multiply the top equation by -120
-120x-120y=-2760
add the two
130y=780
y=6, dividing both sides by 130
x=17 tickets to weekday games ($2040)
and 6 tickets to weekend games ($1500)
Twice as many weekday games will be 34, and he will make $4250
One-third as many weekend games, or 2, and he will make $500
He will sell 2 tickets to weekend games and make a total of $4750.
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