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
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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
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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
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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
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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
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document.write( "This means that he has 4/12 of the packet left (12/12 - 8/12 = 4/12).\r
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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
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document.write( "Can you now work out how much flour James was using to make each cake?
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document.write( "(Hint: He now has enough left (4/12) to make another four cakes, doesn't he?) \n" );
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Algebra.Com's Answer #839711 by MathLover1(20849)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "let amount of flour be \n" ); document.write( "\n" ); document.write( " if he had used the flour to make \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He went on to bake another \n" ); document.write( "if \n" ); document.write( "\n" ); document.write( "so, for \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so,\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "check:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |