Question

Isabella is making waffles. It takes 2/5 of a pound of flour to make 2 waffles. She uses 3 1/5 pounds of flour for every 8 eggs used.
If Isabella uses a total of 12 eggs, then how many waffles does she make?

Answer 1

Answer:

$\large \boxed{16\frac{1}{2}}$

Step-by-step explanation:

1. Calculate the pounds of flour

$\begin{array}{rcl}\text{Pounds of flour} & = & \text{12 eggs} \times \dfrac{2\frac{1}{5}\text{ lb flour}}{\text{8 eggs}}\\\\ & = & 12 \times \dfrac{\frac{11}{5}\text{ lb flour}}{8}\\\\ & = & 12 \times \dfrac{\text{11 lb flour}}{40}\\\\ & = &\dfrac{3}{10} \times \text{11 lb flour}\\\\ & = & \dfrac{33}{10} \text{ lb flour}\\\\\end{array}$

2. Calculate the number of waffles

$\begin{array}{rcl}\text{No. of waffles} & = & \dfrac{33}{10}\text{ lb flour} \times \dfrac{\text{2 waffles}}{\frac{2}{5}\text{ lb flour}}\\\\& = & \dfrac{33}{10} \times \dfrac{\text{1 waffle}}{\frac{1}{5}}\\\\& = & \dfrac{33}{10} \times \text{1 waffle} \times {\dfrac{5}{1}}\\\\& = & \dfrac{33}{2} \times \text{1 waffle}\\\\& = & \mathbf{16\frac{1}{2}} \textbf{ waffles}\\\\\end{array}\\\text{Isabella makes \large \boxed{16\frac{1}{2}\textbf{ waffles}} }$