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

`\large \boxed{16(1)/(2)}`

Explanation:

1. Calculate the pounds of flour

`\begin{array}{rcl}\text{Pounds of flour} & = & \text{12 eggs} * \frac{2(1)/(5)\text{ lb flour}}{\text{8 eggs}}\\\\ & = & 12 * \frac{(11)/(5)\text{ lb flour}}{8}\\\\ & = & 12 * \frac{\text{11 lb flour}}{40}\\\\ & = &(3)/(10) * \text{11 lb flour}\\\\ & = & (33)/(10) \text{ lb flour}\\\\\end{array}`

2. Calculate the number of waffles

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