Chapter 2: Q. 159 (page 230)

In the following exercise, translate to an equation and then solve.
The sum of two-fifths and f is one-half.

Short Answer

Expert verified

$Thetranslationintheequationformis \frac{2}{5} + f = \frac{1}{2} andthesolutionis f = \frac{1}{10} .$

Step by step solution

Step 1. Given information

Given:

The sum of two-fifths and f is one-half.

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

Step 2. Translate the sentence into an equation

$\begin{array}{l} \underset{}{\underset{⏟}{Thesumoftwo-fifthsand f}} \underset{}{\underset{⏟}{is}} \underset{}{\underset{⏟}{one-half}} \\ ⇓ ⇓ ⇓ \\ \frac{2}{5} + f = \frac{1}{2} \end{array}$

Step 3. Simplify

$\begin{array}{l} \Rightarrow \frac{2}{5} + f = \frac{1}{2} \\ \Rightarrow \frac{2}{5} + f - \frac{2}{5} = \frac{1}{2} - \frac{2}{5} [Subtract \frac{2}{5} fromboththesides] \\ \Rightarrow f = \frac{1 \times 5 - 2 \times 2}{2 \times 5} \\ \Rightarrow f = \frac{5 - 4}{10} \\ \Rightarrow f = \frac{1}{10} \end{array}$

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In the following exercise, translate to an equation and then solve.
The sum of two-fifths and f is one-half.

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 sum of two-fifths and f is one-half.

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

Applied Mathematics

Pure Maths

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercise, translate to an equation and then solve.
The sum of two-fifths and f is one-half.