Question

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.

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 1

250n+120(23-n)=3540

250n-120n+2760=3540

130n=780

n=6

23-n=17

Eddy sold 17 tickets to weekday games and 6 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 2 tickets to weekend games and make a total of $4580.

Answer 2

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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