Question

Dave is making cookies. He mixes flour, butter and sugar in the ratio 6:4:1. Dave uses 160g of butter. How much flour and sugar does he use?

Answer 1

Dave uses 240g of flour and 40g of sugar.

Explanation:

Now the ratio of David's ingredients is given as:

Flour:Butter:Sugar=6:4:1

Dave uses 160g of butter.

Let the total mass of ingredients be x.

Sum of ratio=6+4+1=11

Therefore:

`(4)/(11)Xx=160g\\ 4x=160X11\\x=(160X11)/ 4\\x=440g`

We have determined the total mass of ingredients.

We then use this to determine how much flour and sugar was used.

Flour

Proportion of Flour=6/11

Amount of flour used

=
`(6)/(11)X440=240g`

Sugar

Proportion of Sugar=1/11

Amount of butter used

=
`(1)/(11)X440=40g`

Therefore, Dave uses 240g of flour and 40 g of sugar.