document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199020>Question 1199020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Baker Jack baked 160 cakes. 55% of them were walnut cakes and the rest were almond cakes. After selling some of the walnut cakes, the percentage of the walnut cakes become 40%. How many cakes were left ? </SPAN>\n" );
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document.write( "x = number of walnut cakes sold\r<BR>\n" );
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document.write( "Jack baked 160 cakes.<BR>\n" );
document.write( "55% of them are walnut<BR>\n" );
document.write( "0.55*160 = 88 cakes are walnut\r<BR>\n" );
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document.write( "After selling x of walnut, he has 88-x walnut left.<BR>\n" );
document.write( "This amount is divided over the amount of remaining cakes, 160-x.<BR>\n" );
document.write( "This ratio is set equal to 0.40 to represent 40% of the remaining cakes are walnut.\r<BR>\n" );
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document.write( "(amount of walnut left)/(amount of cakes left) = ratio<BR>\n" );
document.write( "(88-x)/(160-x) = 0.40\r<BR>\n" );
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document.write( "Let's solve for x<BR>\n" );
document.write( "(88-x)/(160-x) = 0.40<BR>\n" );
document.write( "88-x = 0.40(160-x)<BR>\n" );
document.write( "88-x = 64-0.40x<BR>\n" );
document.write( "-x+0.40x = 64-88<BR>\n" );
document.write( "-0.60x = -24<BR>\n" );
document.write( "x = -24/(-0.60)<BR>\n" );
document.write( "x = 40\r<BR>\n" );
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document.write( "Jack sold 40 walnut cakes.<BR>\n" );
document.write( "He started off with 88 of them, and now has 88-40 = 48 leftover.\r<BR>\n" );
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document.write( "160 total drops to 160-40 = <font color=red>120</font> cakes left over.<BR>\n" );
document.write( "48/120 = 0.40 = 40% of the remaining cakes are walnut.<BR>\n" );
document.write( "We have confirmed the correct amount of walnut cakes sold.\r<BR>\n" );
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document.write( "Answer: <font color=red>120 cakes remain</font><BR>\n" );
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