1. ## 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

2. ## Algebra problem

Hello DINOCALC09
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 $$\displaystyle x, and on the other rides be$$\displaystyle y$.

Total takings = $27,000$\displaystyle \Rightarrow x + y = 27000$(1) Total profit =$5,240 $\displaystyle \Rightarrow \frac{15x}{1000} + \frac{22y}{100} = 5240$

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

Multiply both sides of (1) by $\displaystyle 15$:

$\displaystyle 15x + 15y = 405000$

Subtract from (2):

$\displaystyle 7y = 119000$

$\displaystyle \Rightarrow y = 17000$ and $\displaystyle x = 10000$

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