A muffin recipe calls for 2 1/2 cups of flour for every 2/3 cups of sugar. How many cups of flour should be used when 4 cups of sugar are used?
4 / (2/3)
4 * (3/2) + 12/2 = 6
6 * 2.5 = 15 cups of flour
Correction:
4 * (3/2) = 12/2 = 6
To find out how many cups of flour should be used when 4 cups of sugar are used, we need to set up a proportion using the given ratio of flour to sugar in the muffin recipe.
The ratio states that for every 2/3 cups of sugar, 2 1/2 cups of flour are needed.
Let's set up the proportion:
(2 1/2 cups of flour) / (2/3 cups of sugar) = (x cups of flour) / (4 cups of sugar)
To solve for x (the number of cups of flour to be used when 4 cups of sugar are used), we can cross-multiply and solve for x.
Cross-multiplying gives us:
(2 1/2 cups of flour) * (4 cups of sugar) = (2/3 cups of sugar) * (x cups of flour)
10 cups of flour = (2/3) * (x cups of flour)
Now, we need to solve for x. To do so, we can divide both sides of the equation by 2/3:
10 cups of flour = (x cups of flour) * (3/2)
Simplifying:
10 cups of flour = (3/2) * (x cups of flour)
Next, we can divide both sides of the equation by (3/2) to isolate x:
x cups of flour = (10 cups of flour) / (3/2)
Now, let's simplify this division:
x cups of flour = 10 cups * (2/3)
x cups of flour = 20/3 cups
x cups of flour = 6 2/3 cups
Therefore, when 4 cups of sugar are used, you should use approximately 6 2/3 cups of flour in the muffin recipe.