If our recipe calls for 2 1/2 cups flour for every 3/4 cup sugar,
how much flour is needed if we used 1 cup of sugar?
I don't.know
2 1/2 cups flour for every 3/4 cup sugar
That is 5/2 f = 3/4 s
In other words, (5/2 f)/(3/4 s) = (3/4 s)/(5/2 f) = 1
Now you just want to convert cups of sugar (s) to cups of flour (f)
You can always multiply by 1 without changing anything. So, since you want to get rid of the s and keep the f, pick the proper fraction so the s units cancel.
1s = 1s * (5/2 f)/(3/4 s) = (5/2)/(3/4) f = (5/2 * 4/3) f = 10/3 f
as above
To find out how much flour is needed if we used 1 cup of sugar, we can use a proportional relationship.
Let's break down the given recipe:
1 cup of sugar corresponds to 2 1/2 cups of flour.
3/4 cup of sugar corresponds to x cups of flour (the unknown quantity we need to find).
We can set up a proportion using these ratios:
(1 cup of sugar) / (2 1/2 cups of flour) = (3/4 cup of sugar) / (x cups of flour).
To solve for x (the amount of flour needed), we can cross-multiply and solve for x:
(1 cup of sugar) * (x cups of flour) = (3/4 cup of sugar) * (2 1/2 cups of flour).
Multiplying both sides, we get:
x = (3/4) * (2 1/2).
Evaluate the right side of the equation:
x = (3/4) * (5/2).
Multiply the numerators (3 * 5) and the denominators (4 * 2):
x = 15/8.
Therefore, if we used 1 cup of sugar, we would need 15/8 cups of flour. Simplifying the fraction, we can convert it to a mixed number:
15/8 = 1 7/8.
So, you would need 1 7/8 cups of flour if you used 1 cup of sugar in the recipe.
The recipe calls for 3 1/2 cups of flour for every 1/4 cup of sugar.How many cups of flour should use for 2 cups of sugar
1 / ( 3 / 4 ) = 4 / 3
( 4 / 3 ) ∙ 2.5 cups = 10 cups / 3 = 3.333... cups