Answer: Eddy sold 17 tickets to weekday games and 6 tickets to weekend games. Next year, he plans to sell 2 weekend tickets. He will make a total of $4,580.
Explanation:
Let D the number of weekday tickets sold
Let W the number of weekend tickets sold
Eddy sold 23 tickets.
Algebraically expressed it is:
D + W = 23 } Equation 1
Eddy made a total of $3,540 from selling his 23 tickets.
Algebraically expressed it is:
D·$120 + W·$250 = $3,540 } Equation 2
We can extract the value of D from the equation 1:
D + W = 23 } Equation 1
D = 23 - W } Equation 1
Then we can substitute this value of D in equation 2:
D·$120 + W·$250 = $3,540 } Equation 2
$120(23 - W) + $250W = $3,540
$2,760 - $120W + $250W = $3,540
$130W = $3,540 - $2,760
$130W = $780
W = $780/$130 = 6 , number of weekend tickets sold
Now we can substitute this value of W in equation 1:
D = 23 - W } Equation 1
D = 23 - 6 = 17 , number of weekday tickets sold
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.
Next year, he plans to sell 2x17 = 34 weekday tickets
Next year, he plans to sell 6/3 = 2 weekend tickets
According to this plan, he will make a total of:
D·$120 + W·$250 = 34·$120 + 2·$250 = $4,080 + $500 = $4,580
Answer: Eddy sold 17 tickets to weekday games and 6 tickets to weekend games. Next year, he plans to sell 2 weekend tickets. He will make a total of $4,580.
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