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There were 296296 tickets purchased for a major league baseball game. The general admissiongeneral admission tickets cost ​$6.506.50 and the upper boxupper box tickets cost ​$10.0010.00. The total amount of money spent was ​$2400.002400.00. How many of each kind of ticket were​ purchased?

Respuesta :

jmonterrozar

Answer:

The general admission ticket number is 160 and the upper box ticket number is 136

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x be general admission tickets number

let y be upper box tickets  number

So:

6.5 * x + 10 * y = 2400

x + y = 296 => x = 296 - y

Replacing, we are left with that:

6.5 * (296 - y) + 10 * y = 2400

1924 - 6.5 * y + 10 * y = 2400

10 * y - 6.5 * y = 2400 - 1924

3.5 * y = 476

y = 476 / 3.5

y = 136

Now to calculate x:

x = 296 - 136

x = 160

The general admission ticket number is 160 and the upper box ticket number is 136

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