Final answer:
To find out how much flour you should use if you only have 200g of butter, set up a proportion using the given information. You should use160g of flour in the cake recipe.
Step-by-step explanation:
To find out how much flour you should use if you only have 200g of butter, you need to set up a proportion using the given information.
First, calculate the ratio of butter to flour in the recipe:
500g of flour : 250g of butter
Since you only have 200g of butter, you can set up the proportion:
250g of butter : x g of flour = 200g of butter : y g of flour
Using cross multiplication, you can solve for y:
(250g of butter)(y g of flour) = (200g of butter)(500g of flour)
y g of flour = (200g of butter)(500g of flour) / 250g of butter
y g of flour = 40000g of flour / 250g of butter
y g of flour = 160g of flour
Therefore, if you only have 200g of butter, you should use 160g of flour in the cake recipe.