Chapter 6.5, Problem 13PPS

To determine

To Solve: The equation $\frac{7}{c}=\frac{35}{60}$

Answer to Problem 13PPS

  $c=12$

Explanation of Solution

Given information:

The equation $\frac{7}{c}=\frac{35}{60}$

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 $\frac{7}{c}=\frac{35}{60}$

Cross multiply

  $\begin{array}{l}\frac{7}{c}=\frac{35}{60}\\ 7\times 60=35\times c\\ 420=35c\\ \text{Divide both side by 35}\\ \frac{420}{35}=\frac{35c}{35}\\ 12=1c\\ \text{or }c=12\end{array}$

Conclusion:

  $c=12$