Chapter 2: Q. 2.48 (page 227)

Translate and solve: The sum of three-fourths and $x$ is five-sixths.

Short Answer

Expert verified

On solving, we get $\frac{3}{4} + x = \frac{5}{6}; x = \frac{1}{12} .$

Step by step solution

Step 1. Given information

Given:

The sum of three-fourths and $x$ is five-sixths.

We will translate sentences into equations and then solve the equations.

Step 2. Translate the sentence into equation

$\begin{array}{l} \underset{⇓}{\underset{⏟}{Thesumofthree-fourthsand x}} \underset{⇓}{\underset{⏟}{is}} \underset{⇓}{\underset{⏟}{five-sixth}} \\ \frac{3}{4} + x = \frac{5}{6} \end{array}$

Step 3. Simplify

$\begin{array}{l} Now, \\ \Rightarrow \frac{3}{4} + x = \frac{5}{6} \\ \Rightarrow \frac{3}{4} + x - \frac{3}{4} = \frac{5}{6} - \frac{3}{4} [Subtract \frac{3}{4} fromboththesides] \\ \Rightarrow x = \frac{5 \cdot 4 - 3 \cdot 6}{6 \cdot 4} \\ \Rightarrow x = \frac{20 - 18}{24} \\ \Rightarrow x = \frac{2}{24} \\ \Rightarrow x = \frac{1}{12} \\ Hence, \\ Theequationwillbe \frac{3}{4} + x = \frac{5}{6} andonsolving,weget x = \frac{1}{12} . \end{array}$

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Translate and solve: The sum of three-fourths and $x$ is five-sixths.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into equation

Step 3. Simplify

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Translate and solve: The sum of three-fourths and xis five-sixths.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into equation

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Translate and solve: The sum of three-fourths and $x$ is five-sixths.