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.
Step-by-step explanation:
Let D the number of weekday tickets sold
Let W the number of weekend tickets sold
<em>Eddy sold 23 tickets. </em>
<em>Algebraically expressed it is: </em>
D + W = 23 } Equation 1
<em>Eddy made a total of $3,540 from selling his 23 tickets. </em>
<em>Algebraically expressed it is: </em>
D·$120 + W·$250 = $3,540 } Equation 2
<em>We can extract the value of D from the equation 1: </em>
D + W = 23 } Equation 1
D = 23 - W } Equation 1
<em>Then we can substitute this value of D in equation 2: </em>
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
<em>Now we can substitute this value of W in equation 1: </em>
D = 23 - W } Equation 1
D = 23 - 6 = 17 , number of weekday tickets sold
<em>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. </em>
<em>Next year, he plans to sell 2x17 = 34 weekday tickets </em>
Next year, he plans to sell 6/3 = 2 weekend tickets
<em>According to this plan, </em><em>he will make a total of: </em>
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.
<h2><em>Spymore</em></h2>
