Chapter 2: Q. 161 (page 230)

In the following exercise, translate to an equation and then solve.
The difference of q and one-eighth is three-fourths.

Short Answer

Expert verified

$Thetranslationintheequationformis q - \frac{1}{8} = \frac{3}{4} andthesolutionis q = \frac{7}{8} .$

Step by step solution

Step 1. Given information

Given:

The difference of q and one-eighth is three-fourths.

We will translate the sentence into an equation and then solve the equation.

Step 2. Translate the sentence into an equation

$\begin{array}{l} \underset{}{\underset{⏟}{Thedifferenceof q andone-eigth}} \underset{}{\underset{⏟}{is}} \underset{}{\underset{⏟}{three-fourths}} \\ ⇓ ⇓ ⇓ \\ q - \frac{1}{8} = \frac{3}{4} \end{array}$

Step 3. Simplify

$\begin{array}{l} \Rightarrow q - \frac{1}{8} = \frac{3}{4} \\ \Rightarrow q - \frac{1}{8} + \frac{1}{8} = \frac{3}{4} + \frac{1}{8} [Add \frac{1}{8} boththesides] \\ \Rightarrow q = \frac{3 \times 8 + 1 \times 4}{4 \times 8} \\ \Rightarrow q = \frac{24 + 4}{32} \\ \Rightarrow q = \frac{28}{32} \\ \Rightarrow q = \frac{7}{8} \end{array}$

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In the following exercise, translate to an equation and then solve.
The difference of q and one-eighth is three-fourths.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into an equation

Step 3. Simplify

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In the following exercise, translate to an equation and then solve.The difference of q and one-eighth is three-fourths.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into an equation

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Discrete Mathematics

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercise, translate to an equation and then solve.
The difference of q and one-eighth is three-fourths.