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Rearranging is one of the trickier topics in GCSE maths, however as long as you follow it through step by step you shouldn't have a problem.
The question asks you to make 'c' the subject. This means you need to get 'c' on one side of the equation, and all the other terms on the other side of the equation.
Firstly, you should multiplty everything through by 2 to get rid of the fraction:
3c + b = 2(c + a)
3c + b = 2c + 2a
Then, by adding and subtracting terms, move all of the 'c' terms on to one side of the equation and all of the other terms on to the other side of the equation:
3c - 2c = 2a - b
Therefore, your final solution is:
c = 2a - bsee more
This question can be difficult, because it involve a lot of words. This can make it confusing as to what information we really need to use - just work it through step by step.
Sam uses 140g of flour to make 12 cakes. In order to answer this question we need to find out how much flour is used to make 1 cake.
To do this we divide 140 by 12:
140 / 12 = 11 2/3
Next, we must find out how much flour is needed to make 21 cakes.
To do this, we mutiply the number of flour needed to make 1 cake by 21:
11 2/3 x 21 = 244.9999
Because it would be difficult to measure 244.9999g of flour, we simply round up to the nearest whole number:
= 245g of flour is needed to make 21 cakes.see more