Two ingredients in a recipe are 2 and 1/2 cups of flour and 1 and 1/2 cup of sugar if June keeps the proportion the same how many cups of flour should she add to 4 cups of sugar
What's the answer
since the ratio is the same,
x/4 = (2 1/2) / (1 1/2)
x/4 = 5/3
now finish it off
To keep the proportions the same, we need to find the ratio between the amount of flour and sugar in the original recipe.
In the original recipe, the ratio of flour to sugar is 2.5:1.5, which can be simplified to 5:3 by dividing both values by the greatest common divisor (GCD) of 2.5 and 1.5.
Now, let's use this ratio to determine how much flour June should add to 4 cups of sugar.
For every 5 cups of flour, there are 3 cups of sugar.
Using this ratio, we can set up a proportion:
(5 cups of flour) / (3 cups of sugar) = x cups of flour / (4 cups of sugar)
Cross-multiplying, we have:
5 cups of flour * 4 cups of sugar = 3 cups of sugar * x cups of flour
20 cups of sugar = 3x cups of flour
Now, solve for x (the number of cups of flour):
x = 20 cups of sugar / 3
x ≈ 6.67 cups of flour
Therefore, June should add approximately 6.67 cups of flour to 4 cups of sugar to maintain the same proportion as the original recipe.