Chapter 2: Q. 116 (page 229)

In the following exercise, solve each equation requiring simplification.
$\frac{5}{12} q + \frac{1}{2} q = 25 - 3$

Short Answer

Expert verified

On simplifying, we get $q = 24 .$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenequationis \frac{5}{12} q + \frac{1}{2} q = 25 - 3. \\ Wehavetosimplifythegivenequation. \end{array}$

Step 2. Simplify

$\begin{array}{l} Now, \\ \Rightarrow \frac{5}{12} q + \frac{1}{2} q = 25 - 3 \\ \Rightarrow (\frac{5}{12} + \frac{1}{2}) q = 22 [Simplifyeachside] \\ \Rightarrow (\frac{5 \cdot 2 + 1 \cdot 12}{12 \cdot 2}) q = 22 \\ \Rightarrow (\frac{10 + 12}{12 \cdot 2}) q = 22 \\ \Rightarrow (\frac{22}{12 \cdot 2}) q = 22 \\ \Rightarrow (\frac{2 \times 11}{12 \cdot 2}) q = 22 \\ \Rightarrow \frac{12}{11} \times \frac{11 q}{12} = \frac{12}{11} \times 22 [Multiplybothsidesby \frac{11}{12}] \\ \Rightarrow q = 24 \end{array}$

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In the following exercise, solve each equation requiring simplification.
$\frac{5}{12} q + \frac{1}{2} q = 25 - 3$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

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In the following exercise, solve each equation requiring simplification.512q+12q=25−3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercise, solve each equation requiring simplification.
$\frac{5}{12} q + \frac{1}{2} q = 25 - 3$