Chapter 2.7, Problem 1STP

For Exercises $1-5,$ choose the correct letter.

What is the solution to the proportion $\frac{3}{5}=\frac{x}{10}?$

A. $\frac{10}{3}$

B. 6

C. 10

D. 150

To determine

To find:The solution of $\frac{3}{5}=\frac{x}{10}$

Answer to Problem 1STP

B. $x=6$

Explanation of Solution

Given information: $\frac{3}{5}=\frac{x}{10}$

Calculation:

  $\begin{array}{l}\frac{3}{5}=\frac{x}{10}\\ \Rightarrow 3\times 10=x\times 5\\ \Rightarrow 30=5x\\ \Rightarrow 5x=30\\ \Rightarrow x=\frac{30}{5}\\ \Rightarrow x=6\end{array}$

Thus, the solution is B. $x=6$