Posted by **Valentin** on Wednesday, August 24, 2011 at 11:15pm.

student tickets to the school musical cost $3 each. All other tickets cost $5 each. Suppose that 272 tickets were sold for a total of $1120. How many tickets of each type were sold?

- math -
**Jai**, Thursday, August 25, 2011 at 12:13am
first we represent unknowns with variables.

let x = number of $3-tickets

since the total number of tickets ($3 and $5) is equal to 272,

let 272-x = number of $5-tickets

then we set-up the equation. to get the total cost, we multiply each price of the ticket with their number. thus,

3x + 5(272-x) = 1120

3x + 1360 - 5x = 1120

3x - 5x = 1120 - 1360

-2x = -240

x = 120 (number of $3-tickets)

272-x = 152 (number of $5-tickets)

hope this helps~ :)

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