# Algebra I

• Mar 9th 2009, 07:03 PM
DINOCALC09
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
• Mar 10th 2009, 08:03 AM
Algebra problem
Hello DINOCALC09
Quote:

Originally Posted by DINOCALC09
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.