Question

Marcia bought a 500 g packet of flour. She used some flour to bake a cake, and she used two thirds of the remaining flour to make some scones. She used 60 g more flour for the cake than for the scones. How much flour did Marcia use for the cake?​

Answer 1

The answer should be 236g.

Explanation:

If we take the amount of flour used for the cake as 'x,' the flour used to make the scones would be (500-x)×2/3 as 2/3 of the remaining is used for the scones.

We know that 60g more flour is used for the cake.

So,

x-60=(500-x)×2/3

Cross multiply, and brng the 3 to the other side.

3(x-60)=(500-x)2

3x-180=1000-2x

Bring the x-terms to one side and the numbers to one side.

3x+2x=1000+180

5x=1180

Divide both sides by 5 to find x(the amount of flour used to make the cake)

Therefore,

x=236g