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Madison high school is putting on a school play. they decide to charge $11 for main floor seats and $7 for balcony seats. if the school sold twice as many main floor seats as balcony seats and made $870, how many of each type of seat did they sell?

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  • Jim Winger Oct 04, 2010

    Have you asked the Madison High principal?

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Sounds like a "school homework" question.

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Ah, word problems! The trick is to convert the given information into two equations in two unknowns. Let's let S be the number of solid color rolls sold, and P be the number of print rolls.

The first equation is easy:

(eq. 1): S + P = 480

We're given that information: the total number of rolls sold. For the second equation, use the given price information ($4/roll for the plain, $6/roll for the print).

(eq. 2): 4S + 6P = 2340

Again, we're given the total sales, and we know how much each kind costs.

Now it's just some basic algebra. Let's rearrange equation 1 to get S by itself:

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Then use that value in equation 2, and solve for P:

4S + 6P =2340
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Now we know that the MLHS band sold 210 rolls of print paper, which means they sold 270 rolls of solid. You can your answers in the original equations. If they are the right values, both equations will work out.

270 + 210 = 480, eq. 1 is right.
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