A recipe for cookie uses. 220 gram of butter, 110 gram of caster sugar, 275 gram of flour, what is the ratio of flour to butter in to simplest form?

how much caster sugar would be needed if you were scaling up the recipe and using 660 grams of butter and 825 gram of flour?

220:275 = 44:55 = 4:5

330 grams of caster sugar

Let the butter be a

the caster be b

and the flour be c

the ratio of flour to butter is c:a=275:220

in simplest form is 5:4

to scale the recipe we need to figure the caster ratio, so a:b:c is 220:110:275

simplified is 4:2:5

so the scale is 4:2:5 into 660:b:825

by dividing 660 by 4 or 825 by 5

you get 165 multiply it by 2

and you get 330

therefore you need 330 grams of caster to make the scale