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)
cups

1 answer

The original recipe makes 4 loaves and calls for a total of 2 cups of sugar.

Since Kendra's changed recipe uses a total of 2.12 cups of flour and sugar combined for one loaf, we can find out how much sugar is used in Kendra's recipe.

Kendra's sugar is still derived from the original recipe. If the original recipe uses 2 cups of sugar for 4 loaves, then for 1 loaf, it would use:

\[ \frac{2 \text{ cups of sugar}}{4 \text{ loaves}} = 0.5 \text{ cups of sugar per loaf} \]

Now we can find the amount of flour in the changed recipe. If the combined amount of flour and sugar for the changed recipe is 2.12 cups and the sugar amount is 0.5 cups, we can find the amount of flour as follows:

\[ \text{Flour} = \text{Total} - \text{Sugar} = 2.12 \text{ cups} - 0.5 \text{ cups} = 1.62 \text{ cups} \]

Now we know Kendra's recipe uses 1.62 cups of flour for one loaf. Since the original recipe makes 4 loaves, for the original recipe, we need to scale Kendra's flour amount back up for 4 loaves.

To find the original amount of flour in the recipe, we can multiply the amount of flour used by Kendra by 4:

\[ \text{Original flour amount} = 1.62 \text{ cups} \times 4 = 6.48 \text{ cups} \]

Thus, the amount of flour in the original recipe is:

\[ \boxed{6.48} \text{ cups} \]