Question

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 212
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.(1 point)

Answer 1

The original recipe makes 4 loaves of bread and uses 2 cups of sugar. Let \( x \) represent the amount of flour in cups in the original recipe. The total amount of flour and sugar combined in the original recipe would then be \( x + 2 \) cups.

Since Kendra's adjusted recipe, which makes 1 loaf, calls for 2.12 cups of flour and sugar combined, we can set up the following relationship:

\[
\frac{x + 2}{4} = 2.12
\]

To find \( x + 2 \), we multiply both sides by 4:
\[
x + 2 = 2.12 \times 4
\]
\[
x + 2 = 8.48
\]

Next, we solve for \( x \) by subtracting 2 from both sides:
\[
x = 8.48 - 2
\]
\[
x = 6.48
\]

Thus, the amount of flour in the original recipe is **6.48 cups**.