Chapter SH, Problem 6.5.15EP

To determine

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

Answer to Problem 6.5.15EP

The required proportion is $\frac{c}{6.75}=\frac{6}{4.50}$ and the solution is 9.

Explanation of Solution

Given information:

The rates: 6 toy cars at $4.50

c toy cars at $6.75

The proportion from the given rates can be written as:

  $\frac{c}{6.75}=\frac{6}{4.50}$

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

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

  $\begin{array}{c}c\times 4.50=6\times 6.75\\ 4.5c=40.5\end{array}$

Divide both sides of the above expression by 4.5.

  $\begin{array}{c}\frac{\cancel{4.5}c}{\cancel{4.5}}=\frac{{\cancel{40.5}}^9}{\cancel{4.5}}\\ c=9\end{array}$

Hence, the required proportion is $\frac{c}{6.75}=\frac{6}{4.50}$ and the solution is 9.