Problem 19 - Introductory Algebra for College Students

Question

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

Step-by-Step Solution

Answer

The number x is 5.

Step 1: Formulate the equation

From the problem, one can ascertain that nine times a number (9x) is 30 more than three times that number (3x). This gives us the following equation: 9x = 3x + 30.

Step 2: Solve the equation

Subtract 3x from both sides: 6x = 30.

Step 3: Find the number

Divide both sides of the equation by 6: x = 30 / 6, thus x = 5.