Final answer:
Using a proportion based on the original recipe for 12 cupcakes, and scaling it up to Abbey's use of 75g of sugar, we calculate that Abbey can make 18 cupcakes.
Step-by-step explanation:
To answer the question of how many cupcakes Abbey can make with 75g of sugar, we need to use a proportion based on the original recipe. The original recipe, which makes 12 cupcakes, calls for 50g of sugar. Since Abbey uses 75g of sugar, we set up a proportional relationship to determine the number of cupcakes she can make.
The proportion looks like this:
- 50g sugar / 12 cupcakes = 75g sugar / x cupcakes
To solve for x (the number of cupcakes), we cross-multiply and then divide:
- (50g sugar) * x = (12 cupcakes) * (75g sugar)
- 50x = 900
- x = 900 / 50
- x = 18 cupcakes
So, with 75g of sugar, Abbey can make 18 cupcakes.