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.(1 point)
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}.
wrong
To find the amount of flour in the original recipe, we first need to calculate the total amount of flour and sugar combined in the changed recipe.
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.
Apologies for the confusion. We are given that the modified recipe calls for 2 1/2 cups of flour and sugar combined. Since Kendra only wants to make one loaf, we need to find the amount of flour in the original recipe for one loaf.
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.