document.write( "Question 1203847: James bought a packet of flour to make cakes. He used an equal amount of flour for each cake. After he had used the flour to make 3 cakes, 3/4 of the packet of flour was left. He went on to bake another 5 cakes and had 1400 g of the flour left. How much flour was used for each cake?\r
\n" ); document.write( "\n" ); document.write( "If you want to try to solve this problem in \"words\" rather than forming and solving equations then you could adopt this approach:-\r
\n" ); document.write( "\n" ); document.write( "After James had made 3 cakes there was 3/4 of the packet of flour left. This means that he must have used 1/4 of the packet to make those 3 cakes (4/4 - 3/4 = 1/4) and, therefore, he is using 1/12 of the packet for each cake (1/4 divided by 3).\r
\n" ); document.write( "\n" ); document.write( "(NB: 4/4 and 12/12 are both ways to represent the whole packet flour; you do see that don't you?)\r
\n" ); document.write( "\n" ); document.write( "Therefore, after he has made another 5 cakes (3 + 5 = 8 cakes in total) he will have used 8/12 of the packet of flour (8 × 1/12 = 8/12).\r
\n" ); document.write( "\n" ); document.write( "This means that he has 4/12 of the packet left (12/12 - 8/12 = 4/12).\r
\n" ); document.write( "\n" ); document.write( "So the 1,400 g of flour that remain after he has baked his 8 cakes is actually 4/12 (or 1/3) of the whole packet.\r
\n" ); document.write( "\n" ); document.write( "Can you now work out how much flour James was using to make each cake?
\n" ); document.write( "(Hint: He now has enough left (4/12) to make another four cakes, doesn't he?)
\n" ); document.write( "

Algebra.Com's Answer #839711 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "let amount of flour be \"x\"\r
\n" ); document.write( "\n" ); document.write( " if he had used the flour to make \"3\" cakes, and \"3%2F4\" of the packet of flour was left
\n" ); document.write( "\"%281%2F4%29x\" was used the flour to make \"3\" cakes and
\n" ); document.write( "\"%283%2F4%29x\" was left\r
\n" ); document.write( "\n" ); document.write( "He went on to bake another \"5+\"cakes and had \"1400g\" of the flour left.
\n" ); document.write( "if \"%281%2F4%29x\" was used the flour to make \"3\" cakes , then \"%281%2F4%29x%2F3=%281%2F12%29x\" was used for one cake\r
\n" ); document.write( "\n" ); document.write( "so, for \"5+\" cakes he will use \"%285%2F12%29x\"\r
\n" ); document.write( "\n" ); document.write( "\"x-%28x%2F4%2B5x%2F12%29=1400g\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2F3=1400g\"\r
\n" ); document.write( "\n" ); document.write( "\"x=3%2A1400g\"\r
\n" ); document.write( "\n" ); document.write( "\"x=4200g\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F4%294200g=highlight%281050g%29\" was used the flour to make \"highlight%283%29\" cakes\r
\n" ); document.write( "\n" ); document.write( "\"%285%2F12%294200g=highlight%281750g%29\" was used the flour to make \"highlight%285%29\" cakes\r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( " \"1400g\" of the flour left\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"1050g%2B1750g%2B1400g=4200g\"
\n" ); document.write( "\"4200g=4200g\" \r
\n" ); document.write( "\n" ); document.write( "
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