Chapter 6.2, Problem 33WE

To determine

To calculate: The total cost of $\frac{4y}{3}$ eggs if the cost is d dollars per dozen.

Answer to Problem 33WE

The total cost of $\frac{4y}{3}$ eggs is $\frac{yd}{9}$ dollars.

Explanation of Solution

Given information:

The cost of 12 eggs is d dollars.

Formula used:

Fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Calculation:

Consider the provided statement that cost of 12 eggs is d dollars.

Therefore, cost of 1 egg is $\frac{d}{12}$ dollars.

Now, cost C of $\frac{4y}{3}$ eggs is the product of $\frac{4y}{3}$ with $\frac{d}{12}$.

Recall that fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Apply it,

  $\begin{array}{c}C=\frac{4y}{3}\cdot \frac{d}{12}\\ =\frac{y}{3}\cdot \frac{d}{3}\\ =\frac{yd}{9}\end{array}$

Thus, the total cost of $\frac{4y}{3}$ eggs is $\frac{yd}{9}$ dollars.