Math Problem Statement
two less than the quotient of a number and five is one
Solution
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 .
- The "quotient of a number and five" translates to .
- "Two less than the quotient" means subtracting 2 from , which gives us .
- This expression equals 1, so the equation is:
Solving the equation:
-
Add 2 to both sides to get rid of the -2:
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Multiply both sides by 5 to solve for :
Final Answer:
The number is .
Would you like further explanation, or do you have any questions?
Here are 5 related questions for practice:
- Three more than the quotient of a number and four is five.
- The sum of a number and eight is equal to twice the number.
- Five less than twice a number is equal to three.
- The difference between a number and nine is equal to four times the number.
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Quotients
Formulas
Quotient of a number x divided by a constant: x / constant
Linear equation: ax + b = c
Theorems
-
Suitable Grade Level
Grades 6-8
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