Set this up as an equation. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

Question

Set this up as an equation. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for  2 1/2  cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

GPT 3.5 · Answer

Let x be the amount of flour in cups in the original recipe.
The amount of flour and sugar combined in the original recipe is 2x cups.
Since the changed recipe calls for 2 1/2 cups of flour and sugar combined, the equation is 2 1/2 = 2x.
Converting 2 1/2 to an improper fraction, we get 5/2 = 2x.
Dividing both sides of the equation by 2, we get (5/2) / 2 = x.
Thus, x = 5/4.
Therefore, the amount of flour in the original recipe is 5/4 cups. Answer: \boxed{\frac{5}{4}}.