we know that
\(\frac{1}{3}\) cup of flour is used to make \(5\) dinner rolls.
Part a) How much flour is needed to make one dinner roll?
by using proportion
\(\frac{\frac{1}{3}}{5} =\frac{x}{1} \\ \\ x=\frac{\frac{1}{3}}{5}\\ \\ x=\frac{1}{15}\)
therefore
the answer Part a) is
To make one dinner roll is needed \(\frac{1}{15}\) cup of flour
Part b) How many cups of flour are needed to make 3 dozen dinner rolls?
Multiply the value obtained in part a) by \(36\)
so
\(\frac{1}{15} *36=\frac{36}{15} \\ \\ =\frac{12}{5}\)
\(\frac{12}{5} =2\frac{2}{5}\)
therefore
the answer Part b) is
To make \(3\) dozen dinner rolls are needed \(2\frac{2}{5}\) cup of flour
Part c) How many rolls can you make with 5 2/3 cups of flour?
\(5\frac{2}{3} =\frac{17}{3}\)
by using proportion
\(\frac{\frac{1}{3}}{5} =\frac{\frac{17}{3}}{x} \\ \\ \frac{x}{3} =\frac{85}{3} \\ \\ x=85\)
therefore
the answer part c) is
\(85\) rolls
