#### ydubrovensky4

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- Thread starter ydubrovensky4
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Welcome to FreeMathHelp.com! Please take the time to read the following before you make your first post. It will help you to get your math questions answered promptly and in the most helpful manner. A summary is available here, but please read the complete guidelines below at your earliest...

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Another way to start would be to define two variables:

- C = grams of flour needed for one cake
- P = grams of flour in the packet

But in order to help more, we need to see what

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G/4 = 3/4(G)Let G = total mass of the flour packet in grams

G/4 was used for 3 cakes

G-1400 was used for 8 cakes

set up an equation and solve for G, then determine the amount of flour in 1 cake

G = 4(3/4G)

G = 4(2100)

G = 8400

8400/8 = 1050

1400 - 1050 = 350

is 350 the answer?

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If you want to try to solve this problem in "words" rather than forming and solving equations then you could adopt this approach:-

After James had made

(

Therefore, after he has made

This means that he has [imath]\bf\small\frac{4}{12}[/imath] of the packet left ([imath]\bf\small\frac{12}{12}[/imath] - [imath]\bf\small\frac{8}{12}[/imath] = [imath]\bf\small\frac{4}{12}[/imath]).

So the

Can you

(

Please come back and tell us your answer (and show us

Hope that helps.

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how does G/4 = (3/4)G ?G/4 = 3/4(G)

G = 4(3/4G)

G = 4(2100)

G = 8400

8400/8 = 1050

1400 - 1050 = 350

is 350 the answer?

G = 4200

my approach was ...

(G/4)/3 = (G-1400)/8

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Yes, I can work out how much flour James was using to make each cake.If you want to try to solve this problem in "words" rather than forming and solving equations then you could adopt this approach:-

After James had made3cakes there was [imath]\bf\small\frac{3}{4}[/imath] of the packet of flour left. This means that he must have used [imath]\bf\small\frac{1}{4}[/imath] of the packet to make those3cakes ([imath]\bf\small\frac{4}{4}[/imath]-[imath]\bf\small\frac{3}{4}[/imath]=[imath]\bf\small\frac{1}{4}[/imath]) and, therefore, he is using [imath]\bf\small\frac{1}{12}[/imath] of the packet forcake ([imath]\bf\small\frac{1}{4}[/imath] divided byeach3).

(NB:[imath]\bf\small\frac{4}{4}[/imath] and [imath]\bf\small\frac{12}{12}[/imath] are both ways to represent thepacket flour; you do see that don't you?)whole

Therefore, after he has madecakes (another53 + 5 = 8cakes in total) he will have used [imath]\bf\small\frac{8}{12}[/imath] of the packet of flour (8 ×[imath]\bf\small\frac{1}{12}[/imath]=[imath]\bf\small\frac{8}{12}[/imath]).

This means that he has [imath]\bf\small\frac{4}{12}[/imath] of the packet left ([imath]\bf\small\frac{12}{12}[/imath] - [imath]\bf\small\frac{8}{12}[/imath] = [imath]\bf\small\frac{4}{12}[/imath]).

So the1,400 gof flour that remain after he has baked his8cakes is actually [imath]\bf\small\frac{4}{12}[/imath] (or [imath]\bf\small\frac{1}{3}[/imath]) of the whole packet.

Can youwork out how much flour James was using to make each cake?now

(: He now has enough left ([imath]\bf\small\frac{4}{12}[/imath]) to make anotherHintcakes, doesn't he? )four

Please come back and tell us your answer (and show usworking too, please).your

Hope that helps.

If 1,400 g of flour is 4/12 (or 1/3) of the whole packet, then the whole packet must have weighed 1,400 g x 3 = 4,200 g.

This means that James was using 4,200 g / 12 cakes = 350 g of flour per cake.

Therefore, the answer is 350 g.

Your explanation in words is clear and easy to understand. I especially like how you used the example of 4/4 and 12/12 to illustrate that they both represent the whole packet of flour. This helps to make the problem more concrete and easier to visualize.

Actually it made the problem.........make the problem moreconcrete