Answer :
Answer:
Dave uses 240g of flour and 40g of sugar.
Step-by-step 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:
[tex]\dfrac{4}{11}Xx=160g\\ 4x=160X11\\x=(160X11)\div 4\\x=440g[/tex]
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
=[tex]\dfrac{6}{11}X440=240g[/tex]
Sugar
Proportion of Sugar=1/11
Amount of butter used
= [tex]\dfrac{1}{11}X440=40g[/tex]
Therefore, Dave uses 240g of flour and 40 g of sugar.