Chapter SH, Problem 6.5.11EP

To determine

To find:The proportion that could be used to solve for each variable and the solution of the proportion.

Answer to Problem 6.5.11EP

The required proportion is $\frac{8}{9.36}=\frac{f}{17.55}$ and the solution is 15.

Explanation of Solution

Given information:

The rates: 8 gallons at $9.36

f gallons at $17.55

The proportion from the given rates can be written as:

  $\frac{8}{9.36}=\frac{f}{17.55}$

To find the solution of the above proportion, use cross multiplication method.

Apply cross-multiplication on the above proportion and simplify for f .

  $\begin{array}{c}8\times 17.55=9.36\times f\\ 9.36f=140.4\end{array}$

Divide both sides of the above expression by 9.36.

  $\begin{array}{c}\frac{\cancel{9.36}f}{\cancel{9.36}}=\frac{{\cancel{140.4}}^{15}}{\cancel{9.36}}\\ f=15\end{array}$

Hence, the required proportion is $\frac{8}{9.36}=\frac{f}{17.55}$ and the solution is 15.