SOLUTION: Amy baked 18 more banana cakes than butter cakes. After giving away 35 cakes of each type, the number of butter cakes left is 3/4 of the number of banana cakes left. How many butte

Question 1189204: Amy baked 18 more banana cakes than butter cakes. After giving away 35 cakes of each type, the number of butter cakes left is 3/4 of the number of banana cakes left. How many butter cakes did she bake?
Answer by ikleyn(52894) (Show Source): You can put this solution on YOUR website!
.
Amy baked 18 more banana cakes than butter cakes.
After giving away 35 cakes of each type, the number of butter cakes left
is 3/4 of the number of banana cakes left. How many butter cakes did she bake?
~~~~~~~~~~~~~~~~~

Let x be the number of the butter cakes (the unknown value under the problem's question).

Then the number of the banana cakes is (x+18).


Write the proportion for the remaining cakes

     = ,

or

     = ,


To solve it, first cross multiply; then simplify

    4(x-35) = 3(x-17)

    4x - 140 = 3x - 51

    4x - 3x  = 140 - 51

       x     =    89.


ANSWER.  89 butter cakes.

Solved.

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