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Math Help - Algebra I

  1. #1
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    Algebra I

    Fernandex Rides Company provides rides for carnivals and fairs. They make a 15% profit on the kiddie rides and a 22% profit on all the other rides. If the rides took in $27,000 in profits at the Kane County Fair over the weekend and he made $5,240 profit, how much was spent on kiddie rides?

    Thanks
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  2. #2
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    Algebra problem

    Hello DINOCALC09
    Quote Originally Posted by DINOCALC09 View Post
    Fernandex Rides Company provides rides for carnivals and fairs. They make a 15% profit on the kiddie rides and a 22% profit on all the other rides. If the rides took in $27,000 in profits(?) at the Kane County Fair over the weekend and he made $5,240 profit, how much was spent on kiddie rides?

    Thanks
    I'm assuming that the total takings for the rides was $27,000. Then let the takings on the kiddie rides be $ x, and on the other rides be $ y.

    Total takings = $27,000 \Rightarrow x + y = 27000 (1)

    Total profit = $5,240 \Rightarrow \frac{15x}{1000} + \frac{22y}{100} = 5240

    \Rightarrow 15x + 22y = 524000 (2)

    Multiply both sides of (1) by 15:

    15x + 15y = 405000

    Subtract from (2):

    7y = 119000

    \Rightarrow y = 17000 and x = 10000

    So they took $10,000 on the kiddie rides.

    Grandad
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