The quotient of a number divided by 6 is 30 .What is the number
The correct answer and explanation is:
The quotient of a number divided by 6 is 30. To find the number, set up the equation based on the given information:
Let the number be xx.
The statement “the quotient of a number divided by 6 is 30” translates to: x6=30\frac{x}{6} = 30
To find xx, multiply both sides of the equation by 6: x=30×6x = 30 \times 6 x=180x = 180
Therefore, the number is 180.
Explanation:
When a number is divided by another number, the result is called the quotient. In this problem, the quotient after dividing the unknown number by 6 is given as 30.
This means: Unknown number÷6=30\text{Unknown number} \div 6 = 30
or Unknown number6=30\frac{\text{Unknown number}}{6} = 30
To find the unknown number, multiply both sides by 6. This operation reverses the division and isolates the unknown number on one side of the equation.
Multiplying 30 by 6 results in 180, which is the original number before it was divided by 6.
This approach is fundamental in algebra when solving for unknown variables in simple linear equations. It is important to perform the same operation on both sides of the equation to maintain equality.
In conclusion, the number that, when divided by 6, gives a quotient of 30 is 180.