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}.
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)
3 answers
wrong
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.
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.