two less than the quotient of a number and five is one

The problem states: "two less than the quotient of a number and five is one." Let's break it down and form an equation.

- Let the unknown number be \( x \).
- The "quotient of a number and five" translates to \( \frac{x}{5} \).
- "Two less than the quotient" means subtracting 2 from \( \frac{x}{5} \), which gives us \( \frac{x}{5} - 2 \).
- This expression equals 1, so the equation is:

\[
\frac{x}{5} - 2 = 1
\]

### Solving the equation:

1. Add 2 to both sides to get rid of the -2:
   \[
   \frac{x}{5} = 3
   \]

2. Multiply both sides by 5 to solve for \( x \):
   \[
   x = 15
   \]

### Final Answer:
The number is \( x = 15 \).

Would you like further explanation, or do you have any questions?

Here are 5 related questions for practice:
1. Three more than the quotient of a number and four is five.
2. The sum of a number and eight is equal to twice the number.
3. Five less than twice a number is equal to three.
4. The difference between a number and nine is equal to four times the number.
5. The quotient of a number and three, plus seven, is equal to ten.

**Tip:** Always break down word problems by identifying key phrases like "less than," "quotient," or "product" to form the correct equation.

Learn how to solve the linear equation 'two less than the quotient of a number and five is one' step-by-step. This problem involves understanding quotients and basic algebraic manipulation. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation