document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204288>Question 1204288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jessica bought some cakes from a bakery. 1/5 of them were chocolate cakes and the rest were vanilla cakes and strawberry cakes. She bought 18 strawberry cakes. There were 24 more vanilla cakes than chocolate cakes.<BR>\n" );
document.write( "(a) What fraction of the cakes bought were vanilla and strawberry cakes?<BR>\n" );
document.write( "(b) How many vanilla cakes did Jessica buy? </SPAN>\n" );
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document.write( "1/5 of the cakes are chocolate<BR>\n" );
document.write( "4/5 of the cakes are vanilla or strawberry\r<BR>\n" );
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document.write( "c = number of chocolate cakes<BR>\n" );
document.write( "c+24 = number of vanilla cakes<BR>\n" );
document.write( "18 = number of strawberry cakes<BR>\n" );
document.write( "c+(c+24)+18 = 2c+42 = total number of cakes\r<BR>\n" );
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document.write( "1/5 of that total is chocolate<BR>\n" );
document.write( "(1/5)*total = number of chocolate<BR>\n" );
document.write( "(1/5)*(2c+42) = c<BR>\n" );
document.write( "2c+42 = 5c<BR>\n" );
document.write( "42 = 5c-2c<BR>\n" );
document.write( "42 = 3c<BR>\n" );
document.write( "3c = 42<BR>\n" );
document.write( "c = 42/3<BR>\n" );
document.write( "c = 14<BR>\n" );
document.write( "Jessica bought 14 chocolate cakes.<BR>\n" );
document.write( "She also bought 38 vanilla cakes (because c+24 = 14+24 = 38).\r<BR>\n" );
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document.write( "In total she bought 14+38+18 = 70 cakes.<BR>\n" );
document.write( "1/5 of that is (1/5)*70 = 0.2*70 = 14, to match with the chocolate cake count. It confirms our answer is correct.\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "(a) <font color=red>4/5</font><BR>\n" );
document.write( "(b) <font color=red>38 vanilla cakes</font><BR>\n" );
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