Chapter 2: Q. 2.45 (page 226)

Translate and solve: Two-fifths of $f$ is 16.

Short Answer

Expert verified

On solving, we get $\frac{2}{5} f = 16; f = 40 .$

Step by step solution

Step 1. Given information

Given:

Two-fifths of $f$ is 16 .

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

Step 2. Translate the sentence into equation

$\begin{array}{l} \underset{⇓}{\underset{⏟}{Two-fifthsof f}} \underset{⇓}{\underset{⏟}{is}} \underset{⇓}{\underset{⏟}{16}} \\ \frac{2}{5} f = 16 \end{array}$

Step 3. Simplify

$\begin{array}{l} Now, \\ \Rightarrow \frac{2}{5} f = 16 \\ \Rightarrow \frac{2}{5} f \times (\frac{5}{2}) = 16 \times (\frac{5}{2}) [Multiplybothsidesby \frac{5}{2}] \\ \Rightarrow f = 40 \\ Hence, \\ Theequationwillbe \frac{2}{5} f = 16 andonsolving,weget f = 40. \end{array}$

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Translate and solve: Two-fifths of $f$ is 16.

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: Two-fifths of fis 16.

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

Applied Mathematics

Discrete Mathematics

Calculus

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Translate and solve: Two-fifths of $f$ is 16.