Chapter 2: Q14. (page 110)

Write an equation and solve each problem.
Three less than three fourths of a number is negative 9. Find the number.

Short Answer

Expert verified

$\frac{3}{4} x - 3 = - 9$

and

$x = - 8$

Step by step solution

Step 1. Given Statement.

Three less than three fourths of a number is negative 9.

Step 2. Description of step.

In order to solve the given problem, first convert the statement into an equation.

For this, let the unknown number in the equation be x

Then, three fourths of that number is $\frac{3}{4} x$ , andthree less than three fourths of a number is negative 9 is represented by the equation:

$\frac{3}{4} x - 3 = - 9$

Now find the value of unknown by solving above equation, as:

$\begin{matrix} \frac{3}{4} x - 3 = - 9 \\ \frac{3}{4} x = - 9 + 3 \\ \frac{3}{4} x = - 6 \\ \frac{3}{4} x \times \frac{4}{3} = - 6 \times \frac{4}{3} \\ x \times \frac{3}{4} \times \frac{4}{3} = - 2 \times 4 \\ x \times 1 = - 8 \\ x = - 8 \end{matrix}$

Thus, the unknown number is $x = - 8$ .

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Write an equation and solve each problem.
Three less than three fourths of a number is negative 9. Find the number.

Short Answer

Step by step solution

Step 1. Given Statement.

Step 2. Description of step.

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Write an equation and solve each problem.Three less than three fourths of a number is negative 9. Find the number.

Short Answer

Step by step solution

Step 1. Given Statement.

Step 2. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Write an equation and solve each problem.
Three less than three fourths of a number is negative 9. Find the number.