Chapter 6.5, Problem 1DGP

To determine

To Solve: The equation $\frac{m}{8.5}=\frac{42}{51}$

Answer to Problem 1DGP

  $m=7$

Explanation of Solution

Given information:

The equation $\frac{m}{8.5}=\frac{42}{51}$

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 $\frac{m}{8.5}=\frac{42}{51}$

Cross multiply

  $\begin{array}{l}\frac{m}{8.5}=\frac{42}{51}\\ m\times 51=42\times 8.5\\ 51m=357\\ \text{Divide both side by 51}\\ \frac{51m}{51}=\frac{357}{51}\\ 1m=7\\ m=7\end{array}$

Conclusion:

  $m=7$