Answered

Marcus is making cookies. The recipe says 2 1/4


cups of flour are needed for each batch. Marcus wants to make 3 batches of cookies.


How many cups of flour will Marcus use?

Verified Answer :

jansmrtnz

6 3/4 is the amout of cups he'll use 

1 Batch: 2 1/4
2 Batches: 4 2/4
3 Batches: 6 3/4

calculista

we know that

The recipe says \(2\frac{1}{4}\) cups of flour are needed for each batch

so

by proportion

Find how many cups of flour will Marcus use to make \(3\) batches of cookies

Convert mixed number to an improper fraction

\(2\frac{1}{4}=2.25\)

\(\frac{2.25}{1} \frac{cups}{batch} =\frac{x}{3} \frac{cups}{batch} \\ \\x=2.25*3\\ \\x=6.75\ cups\)

Convert to a mixed number

\(6.75\ cups=6+0.75=6+\frac{3}{4}=6\frac{3}{4}\ cups\)

therefore

the answer is

\(6\frac{3}{4}\ cups\)

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