1/3 cup of flour is used to make 5 dinner rolls. how many cups of flour are needed to make 3 dozen dinner rolls

Verified Answer :

F = Cup of flour

D = Dinner roll(s)

12 = A dozen

36 = Three dozen

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1/3 F = 5  D

n F = 36  D

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\(\frac { 1 }{ 3 } F=5D\\ \\ 3\cdot \frac { 1 }{ 3 } F=3\cdot 5D\\ \\ F=15D\)

\(nF=36D\\ \\ n=\frac { 36D }{ F }\)

This means that...

\(n=\frac { 36D }{ 15D } \\ \\ n=\frac { 36 }{ 15 } \\ \\ n=\frac { 3\cdot 12 }{ 3\cdot 5 } \\ \\ n=\frac { 12 }{ 5 } \\ \\ n=\frac { 10 }{ 5 } +\frac { 2 }{ 5 } \\ \\ n=2+\frac { 2 }{ 5 }\)

And this means that two cups of flour and 2/5 of a cup of flour are required to make 3 dozen dinner rolls.