You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. How many of each type of ticket did you sell?

Answer:

5 stars? Answer down below

Step-by-step explanation:

a+b=350 => a=350 - b

3a + 5b = 1450

3(350-b)+b=1450

1050-3b+5b=1450

2b=400

b=200

a=150

There are 200 student ticket and 150 general admission ticket sold.

The selling price is used to sell the item at a certain cost and can be calculated using the selling price formula. The amount that the buyer pays to buy the product is called the selling price.

Here,

We sold some number, x, of $5 tickets and some number, y, of $3 tickets. If we sold 350 tickets total then x + y = 350. If we made $1450 total on ticket sales, then the sum of y tickets at $3 plus x tickets at $5 needs to equal $1450.

So,

$3y + $5x = $1450

and x + y = 350

Solve system of equations.

3(350-x) + 5x = 1450

1050 -3x + 5x = 1450

2x = 400

x=200

y + 200 = 350

y=150

Thus, there are 200 student ticket and 150 general admission ticket sold.

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