Chapter 2: Q73. (page 109)

Write and solve the equation for the sentence “Two fifth of a number equals $- 24$ .” What is the number?

Short Answer

Expert verified

The equation for the given problem is $\frac{2}{5} x = - 24$ .

The value of the number is $- 60$ .

Step by step solution

Step-1. Apply the concept of Variables and constant.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Step-2. Concept of equation.

Equations: - Equations are the statements in which two expressions are equal. The expression can be created by variables, constants, numbers and symbols.

Step-3. Solution of the given problem.

The given problem is:

Two-fifths of a number equals $- 24$ .

Let the number be x.

The given problem can be written in the form of an equation as:

$\frac{2}{5} x = - 24$

Multiply $\frac{5}{2}$ to both sides of the equation.

$\begin{array}{l} \frac{5}{2} \times \frac{2}{5} x = \frac{5}{2} \times (- 24) \\ x = - 5 \times 12 \\ x = - 60 \end{array}$

Therefore, the number is $- 60$ .

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Write and solve the equation for the sentence “Two fifth of a number equals $- 24$ .” What is the number?

Short Answer

Step by step solution

Step-1. Apply the concept of Variables and constant.

Step-2. Concept of equation.

Step-3. Solution of the given problem.

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Write and solve the equation for the sentence “Two fifth of a number equals −24.” What is the number?

Short Answer

Step by step solution

Step-1. Apply the concept of Variables and constant.

Step-2. Concept of equation.

Step-3. Solution of the given problem.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write and solve the equation for the sentence “Two fifth of a number equals $- 24$ .” What is the number?