Chapter 6.5, Problem 14PPS

To determine

To Solve: The equation $\frac{k}{56}=\frac{12}{7}$

Answer to Problem 14PPS

  $k=96$

Explanation of Solution

Given information:

The equation $\frac{k}{56}=\frac{12}{7}$

Concept and Formula Used:

To solve the equation bring variable to one side and constant to other side and use cross multiplication.

Calculation:

The given equation is $\frac{k}{56}=\frac{12}{7}$

Cross multiply

  $\begin{array}{l}\frac{k}{56}=\frac{12}{7}\\ k\times 7=12\times 56\\ 7k=672\\ \text{Divide both side by 7}\\ \frac{7k}{7}=\frac{672}{7}\\ 1k=96\\ k=96\end{array}$

Conclusion:

  $k=96$