Chapter 2: Q. 102 (page 229)

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$\frac{3}{5} r = 75$

Short Answer

Expert verified

On solving, we get $r = 125 .$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenequationis \frac{3}{5} r = 75. \\ Wehavetosolvethegivenequationandthenverifytheresult. \end{array}$

Step 2. Simplify

$\begin{array}{l} Now, \\ \Rightarrow \frac{3}{5} r = 75 \\ \Rightarrow \frac{5}{3} \times \frac{3}{5} r = \frac{5}{3} \times 75 [Multiplybothsidesbyreciprocalof \frac{3}{5}] \\ \Rightarrow r = 5 \times 25 \\ \Rightarrow r = 125 \end{array}$

Step 3. Checking the result

$\begin{array}{l} Wehave, \\ \Rightarrow \frac{3}{5} r = 75 \\ \Rightarrow \frac{3}{5} (125) = 75 [Substitute r = 125] \\ \Rightarrow \frac{3}{5} \times (25 \times 5) = 75 \\ \Rightarrow 75 = 75 \\ L.H.S = R.H.S \\ Henceverified. \end{array}$

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$\frac{3}{5} r = 75$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.35r=75

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Decision Maths

Geometry

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$\frac{3}{5} r = 75$