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)
To find the amount of flour in the original recipe, we need to determine the ratio of flour to sugar in the original recipe.
In the changed recipe, Kendra is making one-fourth of the original recipe, which means she needs one-fourth of the total amount of flour and sugar.
The changed recipe calls for 212 cups of flour and sugar combined, so one-fourth of that would be (1/4) * 212 = 53 cups of flour and sugar.
Since we know that the original recipe calls for 2 cups of sugar, we need to determine the ratio of sugar to flour in the original recipe.
If 2 cups of sugar is equivalent to 53 cups of flour and sugar combined, we can set up a proportion to find the amount of flour in the original recipe.
2 cups of sugar is to 53 cups of flour and sugar combined as x cups of flour is to 212 cups of flour and sugar combined.
Using cross-multiplication, we can solve for x:
2 * 212 = 53 * x
424 = 53 * x
x = 424 / 53
x = 8
Therefore, the original recipe calls for 8 cups of flour.
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.
Let's assume the amount of flour in the original recipe is represented by x cups.
We know that the amount of flour and sugar combined in the changed recipe is 212 cups.
Since the original recipe has 2 cups of sugar, the combined amount of sugar and flour in the original recipe is x + 2 cups.
According to the problem, the changed recipe makes 4 loaves, while Kendra only wants to make one loaf.
Therefore, the amount of flour and sugar combined in one loaf of bread is (x + 2) / 4 cups.
Since the amount of flour and sugar combined in one loaf is 212 cups, we can set up the equation: (x + 2) / 4 = 212.
Multiplying both sides of the equation by 4 gives us x + 2 = 848.
Subtracting 2 from both sides of the equation gives us x = 846.
Therefore, the amount of flour in the original recipe is 846 cups.
Let x be the amount of flour in cups in the original recipe.
Since the original recipe calls for 2 cups of sugar, the combined amount of sugar and flour in the original recipe is x + 2 cups.
According to the problem, the changed recipe makes 4 loaves, while Kendra only wants to make one loaf.
Therefore, the amount of flour and sugar combined in one loaf of bread is (x + 2) / 4 cups.
Since the amount of flour and sugar combined in one loaf is 2 1/2 cups, we can set up the equation: (x + 2) / 4 = 2 1/2.
We can convert 2 1/2 to an improper fraction: 2 1/2 = 5/2.
Multiplying both sides of the equation by 4 gives us x + 2 = (5/2) * 4 = 20/2 = 10.
Subtracting 2 from both sides of the equation gives us x = 10 - 2 = 8.
Therefore, the amount of flour in the original recipe is 8 cups.