jonathan is baking a batch of cookies. The recipe calls for 1/2 cup of butter and 3/4 cup of sugar. he used 1 cup of butter. Using the proportions, how much sugar will he need to use?

Is this the full question?

Hi ^^

A recipe calls for 3/4 cup of sugar and 2/3 cup of butter, so the sugar to butter ratio is  (3/4)/(2/3) = (3/4)(3/2) = 9/8.  This ratio implies that 1 cup of butter requires 9/8 cups of sugar.

 Since you use 1½ = 3/2 cups of butter, you will need

(3/2)(9/8) = 27/16 cups of sugar.

anyways hope that helped, bye! <3