Chapter 6, Problem 10PT

To determine

To calculate:Towrite and solve a proportion that could be used to find the cost of a gallon of fruit drink

Answer to Problem 10PT

The proportion that could be used to find the cost of a gallon of fruit drink is $\frac{8}{1.50}=\frac{128}{x}$

Cost of a gallon of fruit drink is $\$24$

Explanation of Solution

Given information:Jhan bought an $8$ -ounce fruit drink for $\$1.50$

Calculation:

Given thatJhan bought an $8$ -ounce fruit drink for $\$1.50$

Also, given conversion rate is

  $1gal=128oz$

Let the cost of $1$ gallon be $x$

Proportion to find the cost of $1$ gallon of fruit drink is

$\frac{8}{1.50}=\frac{128}{x}$

On solving the above proportion,

$\begin{array}{l}8\times x=128\times 1.50\\ x=\frac{128\times 1.50}{8}\\ x=\frac{16\times 1.50}{1}\\ x=24\end{array}$

Hence, Cost of a gallon of fruit drink is $\$24$