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Genrish500 [490]
3 years ago
13

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 t

o find the amount of flour, x Mrs. Stewart needs when she uses 5 cups of shortening
Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs  \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}

Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with 5.

Number of cups of flour needed when 5 cups of shortenings are used (x) =\frac{x}{y} =\frac{5/2}{2/3}.

So, (x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}

The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups of floor.

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