SOLUTION: I spent $312 on a pies and 6 cakes for the party. If cakes costs 50% more than pies. What does one cake cost??

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Question 1164366: I spent $312 on a pies and 6 cakes for the party. If cakes costs 50% more than pies. What does one cake cost??
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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I spent $312 on highlight%28cross%28a%29%29 pies and 6 cakes for the party. If cakes costs 50% more than pies. What does one cake cost??
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            It is  VERY  IMPORTANT  to delete that  "a",  which  I  crossed in your post  (!) 


Let x be the cost of the pies (I mean, TOTAL cost of all pies).


Then the total cost of all cakes was 1.5x, according to the problem's statement.


Thus for the total cost you have this equation

    x + 1.5x = 312   dollars

to find x.


From the equation,  

    2.5x = 312;   hence,  x = 312%2F2.5 = 124.80  dollars.


So, the cost of all 6 cakes is the rest  312 - 124.80 = 187.20 dollars;


hence, the price of one cake is  1%2F6  of it, i.e.  187.20%2F6 = 31.20 dollars.    ANSWER

Solved.