Chapter SH, Problem 6.5.14EP

To determine

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

Answer to Problem 6.5.14EP

The required proportion is $\frac{12}{300}=\frac{16}{s}$ and the solution is 400.

Explanation of Solution

Given information:

The rates: 12 cookies at $3.00

16 cookies at s

The proportion from the given rates can be written as:

  $\frac{12}{300}=\frac{16}{s}$

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

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

  $\begin{array}{c}12\times s=16\times 300\\ 12s=4800\end{array}$

Divide both sides of the above expression by 12.

  $\begin{array}{c}\frac{\cancel{12}s}{\cancel{12}}=\frac{4800}{12}\\ s=400\end{array}$

Hence, the required proportion is $\frac{12}{300}=\frac{16}{s}$ and the solution is 400.