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anonymous

  • one year ago

A village fair offers three throws for $1 and seven throws for $2. If with 187 throws $57 is made, how many people bought three throws

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  1. anonymous
    • one year ago
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    we need a variable for either the $1 throws or the $2 throws so we can solve this for one of them which one do you pick and what variable?

  2. anonymous
    • one year ago
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    could it be x and y

  3. anonymous
    • one year ago
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    you want to use two variables that is find also unnecessary but fine

  4. anonymous
    • one year ago
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    ok that was wrong how can 187 throws bring in only $57?

  5. anonymous
    • one year ago
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    oooh i got that totally wrong doh sorry

  6. anonymous
    • one year ago
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    if you only use one variable how would that turn out

  7. anonymous
    • one year ago
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    lets see if we can do it this way first

  8. anonymous
    • one year ago
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    the total is 187 so \[x+y=187\]

  9. anonymous
    • one year ago
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    and also \[\frac{x}{3}+\frac{2y}{7}=57\]

  10. anonymous
    • one year ago
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    you can solve that for \(x\) and \(y\) probably easier to multiply the second equation by 21 and start with \[x+y=87\\ 7x+6y=1179\]

  11. anonymous
    • one year ago
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    i get \(x=657\) but that is the number of throw, not the number of people the number of people would be one third of that, since they got three throws each

  12. anonymous
    • one year ago
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    it says the number of people is suppose to be 25

  13. anonymous
    • one year ago
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    really? guess i screwed that one up

  14. anonymous
    • one year ago
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    let me see if i can unscrew it if x is the number of people with 3 throws and y with 7 then maybe we should have \[3x+7y=187\]

  15. anonymous
    • one year ago
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    and also \[x+2y=57\]

  16. anonymous
    • one year ago
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    seems to work nicely, get \(x=25,y=16\)

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