Question

A recipe for 114 dozen cupcakes calls for 123 cups of flour, but Rashida has only 1 cup of flour. How many cupcakes can she make? Hint: Pay close attention to the units! Enter your answer as a mixed number. For example, if your answer is 4212, enter 42 1/2

Answer 1

Answer:

9 cups

Step-by-step explanation:

Given

$1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups$

Required

Determine the number of cupcakes for 1 flour

Represent this with x

$x = 1\ cup$

$1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups$

Cross Multiply

$x * 1\frac{2}{3}= 1\frac{1}{4}\ dozen * 1$

$1\frac{2}{3}x = 1\frac{1}{4}\ dozen$

Convert fractions to improper fraction

$\frac{5}{3}x = \frac{5}{4}\ dozen$

Solve for x

$x = \frac{5}{4} * \frac{3}{5}\ dozen$

$x = \frac{3}{4}\ dozen$

$1\ dozen = 12$

So, we have:

$x = \frac{3}{4} * 12$

$x = 9\ cups$