Chapter 6.5, Problem 11PPS

To determine

To Solve: The equation $\frac{b}{30}=\frac{4}{5}$

Answer to Problem 11PPS

  $b=24$

Explanation of Solution

Given information:

The equation $\frac{b}{30}=\frac{4}{5}$

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 $\frac{b}{30}=\frac{4}{5}$

Cross multiply

  $\begin{array}{l}\frac{b}{30}=\frac{4}{5}\\ b\times 5=4\times 30\\ 5b=120\\ \text{Divide both side by 5}\\ \frac{5b}{5}=\frac{120}{5}\\ 1b=24\\ b=24\end{array}$

Conclusion:

  $b=24$