when Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used to find the amount of flour, x Mrs.stewart needs when she uses 5 cups of shortening

5/x=2.5/(2/3)

x=5*2/3)/(2.5) = 4/3 cups

Im confused

for large values of 2, 2+2=5, for small values of 5.

Makes about as much sense as the previous question.

To find the amount of flour, x, that Mrs. Stewart needs when she uses 5 cups of shortening, we can set up a proportion using the given information.

The proportion can be set up as follows:

(2/3 cups of shortening) / (2 1/2 cups of flour) = (5 cups of shortening) / (x cups of flour)

To solve for x, we can cross-multiply and solve for x:

(2/3 cups of shortening) * (x cups of flour) = (5 cups of shortening) * (2 1/2 cups of flour)

We can simplify the right-hand side of the equation by converting the mixed fraction to an improper fraction:

(2/3) * x = (5) * (5/2)

To multiply fractions, we multiply the numerators together and the denominators together:

(2/3) * x = (25/2)

To solve for x, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2):

(3/2) * (2/3) * x = (3/2) * (25/2)

On the left side, (2/3) and (3/2) cancel each other out, leaving us with:

x = (3/2) * (25/2)

We can multiply the numerators and the denominators together:

x = (75/4)

So, Mrs. Stewart needs (75/4) cups of flour when she uses 5 cups of shortening.

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