Kendra is making bread but 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

Answer 1

Let's break down the information given:

1. The original recipe makes 4 loaves and calls for a total of 2 cups of sugar and some amount of flour (let's denote this amount as \( F \)).
2. The modified recipe makes 1 loaf and requires 2.5 cups of flour and sugar combined.

Since the original recipe is meant for 4 loaves, to find out how much of each ingredient is used per loaf, we can divide the amounts by 4:

• Sugar per loaf in the original recipe: \[ \frac{2 \text{ cups of sugar}}{4} = 0.5 \text{ cups of sugar} \]

Let’s denote the amount of flour in the original recipe as \( F \) cups. The amount of flour per loaf would then be: \[ \frac{F}{4} \text{ cups of flour} \]

The total combined amount of flour and sugar per loaf in the original recipe becomes: \[ \frac{F}{4} + 0.5 \]

Now, from the modified recipe, we know that the combined total for 1 loaf is 2.5 cups: \[ \frac{F}{4} + 0.5 = 2.5 \]

To solve for \( F \), first, isolate \( \frac{F}{4} \): \[ \frac{F}{4} = 2.5 - 0.5 \] \[ \frac{F}{4} = 2.0 \]

Now, multiply both sides by 4: \[ F = 2.0 \times 4 = 8 \]

Thus, the amount of flour in the original recipe is 8 cups.