document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #820500 by ikleyn(52909) $\"\"$ $\"About$

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\n" ); document.write( "Amy baked 18 more banana cakes than butter cakes.
\n" ); document.write( "After giving away 35 cakes of each type, the number of butter cakes left
\n" ); document.write( "is 3/4 of the number of banana cakes left. How many butter cakes did she bake?
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document.write( "Let x be the number of the butter cakes (the unknown value under the problem's question).\r\n" );
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document.write( "Then the number of the banana cakes is (x+18).\r\n" );
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document.write( "Write the proportion for the remaining cakes\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "or\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "To solve it, first cross multiply; then simplify\r\n" );
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document.write( "    4(x-35) = 3(x-17)\r\n" );
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document.write( "    4x - 140 = 3x - 51\r\n" );
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document.write( "    4x - 3x  = 140 - 51\r\n" );
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document.write( "       x     =    89.\r\n" );
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document.write( "ANSWER.  89 butter cakes.\r\n" );
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