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anonymous

  • 5 years ago

A cinema has 100 seats Show how it is possible to sell exactly 100 tickets and take in exactly $100 if the ticket prices are: Adults: $10 Seniors: 50 cents Children: 10 cents

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  1. anonymous
    • 5 years ago
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    help me on it please

  2. anonymous
    • 5 years ago
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    but only 100 seats and 100 dollars worth of money

  3. anonymous
    • 5 years ago
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    I have a solution but it's a little bit ugly, do you want me to show you what I did?

  4. anonymous
    • 5 years ago
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    8 adults, 27 seniors, 65 children works.

  5. anonymous
    • 5 years ago
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    yes please show me how it works

  6. anonymous
    • 5 years ago
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    ?

  7. anonymous
    • 5 years ago
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    10a+.5s+.1c=100 a+s+c=100 multiply the top by 10 100a+5s+c=1000 a+s+c=100 now subtract the second equation from the first: 99a+4s=900 so we start by choosing a so that when you take 900-99a the result is divisible by 4. Since 900 is divisible by 4 we want to subtract a multiple of 4 from it so we try a=4,8,etc. a=4 gives more than 100 for s so that doesnt work. try a=8: 900-99*8=900-792=108 4s=108 s=27 so a=8,s=27 a+s+c=100 so c=65. we can check to see if the revenue is 100 too: 8*10+27*.5+65*.1=80+13.5+6.5=100 so it checks out

  8. anonymous
    • 5 years ago
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    TY

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