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16shuston

  • one year ago

he school production of​ 'Our Town' was a big success. For opening​ night, 491 tickets were sold. Students paid ​$1.50 ​each, while​ non-students paid $3.50 each. If a total of $ 956.50 was​ collected, how many students and how many​ non-students attended solve the system x+y = 491 2.5x+4.5y= 956.50 x= ? y= ?

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  1. anonymous
    • one year ago
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    What did you get for your answers?

  2. 16shuston
    • one year ago
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    im not sure where to go from here

  3. anonymous
    • one year ago
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    Solve this system of equations. x+y = 491 2.5x+4.5y= 956.50

  4. 16shuston
    • one year ago
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    how?

  5. anonymous
    • one year ago
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    There are a few ways. What way you want to use. Your teacher has probably showed you a few ways to solve system of equations. You have elimination substitution. The subsitution would be to solve for y in 2.5x+4.5y= 956.50, which would be 2.5x+4.5y= 956.50 2.5x+4.5y= 956.50- 2.5x 2.5x-2.5x+4.5y= 956.50- 2.5x 4.5y= 956.50- 2.5x \[\large \frac{4.5y}{4.5} = \frac{956.50-2.5}{4.5} \] \[\large y= \frac{956.50-2.5}{4.5} \] \[\large y= 212.55-.55 \] Now take Y and substitute it into the top equation x+y=491 x+(212.55-.55)=491 Now turn those decimals to whole numbers by multiplying by 100 on both sides of the equation 100(x+(212.55-.55))=491 * 100 100x+21255-55=49100 Now just solve for x from this equation 100x+21255-55=49100. Can you solve x now?

  6. 16shuston
    • one year ago
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    yes thank you so much it makes more sense now.

  7. anonymous
    • one year ago
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    Once you find x just put x into the equation x+y=491 and solve for y

  8. 16shuston
    • one year ago
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    okay

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