Since the amount of flour and sugar combined in the changed recipe is 2 1/2 cups, and the original recipe calls for 2 cups of sugar, the amount of flour in the original recipe is 2 1/2 cups - 2 cups = 0.5 cups.
Answer: \boxed{0.5}.
Answer: \boxed{0.5}.
Let's assume that the original recipe makes x number of loaves. If the modified recipe makes 4 loaves and calls for 2 1/2 cups of flour and sugar combined, then the original recipe would call for x times the amount of flour and sugar, which is also 2 1/2 cups.
So we can set up the equation:
(x loaves)/(2 1/2 cups) = (1 loaf)/(3/2 cups).
To solve for x, we multiply both sides of the equation by 2 1/2 cups:
2 1/2 cups * (x loaves)/(2 1/2 cups) = 2 1/2 cups * (1 loaf)/(3/2 cups).
The cups cancel out on the left side, leaving us with:
x loaves = (2 1/2 cups) * (1 loaf)/(3/2 cups).
Simplifying the right side, we have:
x loaves = (5/2 cups) * (2/3 cups).
Multiplying the fractions, we get:
x loaves = 10/6 cups.
Simplifying further, we have:
x loaves = 5/3 cups.
Therefore, the original recipe calls for 5/3 cups of flour for one loaf.
Answer: 5/3 cups.
According to the changed recipe, 2 1/2 cups of flour and sugar combined are needed to make one loaf.
We are given that the original recipe calls for 2 cups of sugar.
Since we know that the changed recipe and the original recipe are proportional, we can set up a proportion to find the amount of flour in the original recipe.
Let's assume 'x' represents the amount of flour in the original recipe.
The proportion we can set up is:
2 cups sugar in the original recipe / x cups flour in the original recipe = 2 1/2 cups sugar and flour combined in the changed recipe / 1 cup flour in the changed recipe
Mathematically, this can be written as:
2 / x = 2 1/2 / 1
To isolate 'x', we cross-multiply:
2 * 1 = 2 1/2 * x
2 = 5/2 * x
Divide both sides by 5/2:
2 / (5/2) = x
Simplifying, we get:
2 * (2/5) = x
4/5 = x
Therefore, the amount of flour in the original recipe is 4/5 cups.