Two ingredients in a recipe are 2 1/2 cups of flour and 1 1/2 cups of sugar. If June keeps the proportion the same, how many cups of flour should she add to 4 cups of sugar?
A. 6 2/3
B. 6
C. 5
D. 3 3/4
Two ingredients in a recipe are 2.5 cups of flour and 1.5 cups of sugar . If June keeps the proportion the same , how many cups of flour should she add to 4 cups of Sugar?
x/4 = (2 1/2)/(1 1/2) = (5/2)/(3/2) = 5/3
x = 20/3 = 6 2/3
To find out how many cups of flour June should add, we can set up a proportion between the two ingredients.
The ratio of flour to sugar in the original recipe is 2 1/2 : 1 1/2.
Let's convert these mixed numbers to improper fractions:
2 1/2 = 5/2
1 1/2 = 3/2
Now, let's set up the proportion:
(5/2) / (3/2) = x / 4
To solve for x (the number of cups of flour June should add), we can cross-multiply:
5/2 * 4 = x * 3/2
20/2 = x * 3/2
10 = x * 3/2
To isolate x, we can multiply by the reciprocal of 3/2:
10 * 2/3 = x
20/3 = x
x ≈ 6 2/3
Therefore, June should add approximately 6 2/3 cups of flour to 4 cups of sugar.
The answer is A. 6 2/3.
To find out how many cups of flour June should add to 4 cups of sugar, we need to maintain the same proportion as the original recipe.
First, let's calculate the ratio of flour to sugar in the original recipe:
Flour: 2 1/2 cups = 2.5 cups
Sugar: 1 1/2 cups = 1.5 cups
The ratio of flour to sugar in the original recipe is 2.5:1.5, which can be simplified to 5:3.
Now, we need to apply this ratio to the 4 cups of sugar:
Sugar: 4 cups
To find the corresponding amount of flour, we can set up a proportion:
Flour/Sugar = 5/3
Let's substitute the known values:
Flour/4 = 5/3
To solve for the unknown value (Flour), we can cross-multiply:
Flour * 3 = 4 * 5
Flour * 3 = 20
Now, divide both sides of the equation by 3 to isolate Flour:
Flour = 20/3
Using division, we can express this as a mixed number:
Flour = 6 2/3
Therefore, June should add 6 2/3 cups of flour to 4 cups of sugar.
The answer is (A) 6 2/3.