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Chapter 2: Q24. (page 94)

Write an equation and solve each problem.

Fourteen less than three fourths of a number is negative eight. Find the number.

Short Answer

Expert verified

The required number is 8.

Step by step solution

01

Step 1. List the given data.

Fourteen less than three fourths of a number is negative eight.

02

Step 2. Write the equation for the given problem.

Let xbe the required number.

Translating the given problem into equation form,

34x鈭�14=鈭�8

This is the required equation for the given problem.

03

Step 3. Solve the equation.

Solving,

34x鈭�14=鈭�8 (Obtained equation)

34x鈭�14+14=鈭�8+14 (Add 14 to both sides)

34x=6 (Simplify)

34x脳43=6脳43 (Multiply both sides by 43)

x=8 (Simplify)

So, x=8is the solution of the obtained equation.

04

Step 4. Interpret the obtained solution.

According to the assumption, xis the required number which satisfies the given problem.

Thus, the required number is 8.

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