Question

when mrs.stewart makes pie dough, she uses 2 /3 cup of shortening for every 2 1/2 cups of flour. Which porportion could be used to find the amount of floue x mrs. stewart needs when she uses 5 cups of shortning

Answer 1

`18(3)/(4)\ cups\ flour`

Explanation:

we know that

Mrs. Stewart uses 2/3 cup of shortening for every 2 1/2 cups of flour

so

using proportion

Find out the amount of cups of flour needed when she uses 5 cups of shortening

Let

x -----> the amount of cups of flour needed

Remember that

`2(1)/(2)=(2*2+1)/(2)=(5)/(2)`

The proportion that could be used is

`((5/2))/((2/3))\ (cups\ flour)/(cups\ shortening) =(x)/(5)\ (cups\ flour)/(cups\ shortening) \\\\x=5(5/2)/(2/3)\\\\x=(75)/(4)\ cups\ flour`

Convert to mixed number

`(75)/(4)\ cups\ flour=(72)/(4)+(3)/(4)=18(3)/(4)\ cups\ flour`