The quotient of four less than a number and five is the same as the number divided by eight.
Question
The quotient of four less than a number and five is the same as the number divided by eight.
Solution
Let's solve the problem step-by-step.
1. Break Down the Problem
We need to set up an equation based on the information given:
- Let the unknown number be .
- The expression for "four less than a number" is .
- The quotient of this expression divided by 5 is .
- The number divided by 8 is .
2. Relevant Concepts
According to the problem, these two expressions are equal:
3. Analysis and Detail
Now, let's solve the equation.
- Cross multiply to eliminate the fractions:
- Distribute on the left side:
- Get all terms involving on one side:
- Solve for :
4. Verify and Summarize
- Substituting back into the original expressions: Both sides are equal, confirming our solution is correct.
Final Answer
The number is or approximately .
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