Chapter 6.8, Problem 33S

To determine

To Solve: The equation $\frac{2}{15}=\frac{c}{32}$

Answer to Problem 33S

  $\text{c}=4.27$

Explanation of Solution

Given information:

The equation $\frac{2}{15}=\frac{c}{32}$

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 $\frac{2}{15}=\frac{c}{32}$

Cross multiply

  $\begin{array}{l}\frac{2}{15}=\frac{c}{32}\\ 2\times 32=c\times 15\\ 64=15c\\ \text{Divide both side by 15}\\ \frac{64}{15}=\frac{15c}{15}\\ 4.27=1c\\ \text{or c}=4.27\end{array}$

Conclusion:

  $\text{c}=4.27$