Solve the equation: [tex]$12 y=132$[/tex].
A. [tex]$y=11 / 12$[/tex]
B. [tex]$y=11$[/tex]
C. [tex]$y=144$[/tex]
D. [tex]$y=1 / 11$[/tex]
Answer (2)
Divide both sides of the equation by 12: 12 12 y = 12 132 .
Simplify the equation: y = 12 132 .
Perform the division: y = 11 .
The solution to the equation is 11 .
Explanation
Understanding the Problem We are given the equation 12 y = 132 and need to find the value of y . This is a simple linear equation where we can isolate y by dividing both sides of the equation by the coefficient of y , which is 12.
Isolating y To solve for y , we divide both sides of the equation by 12: 12 12 y = 12 132
Simplifying the Fraction Now, we simplify the equation: y = 12 132 To find the value of the fraction, we perform the division. 132 divided by 12 is 11.
Finding the Answer Therefore, the solution to the equation is: y = 11 Comparing this result with the given options, we see that option B is the correct answer.
Examples
Imagine you are buying a box of chocolates that costs $12. If you have to pay a total of $132, you can use the equation 12 y = 132 to find out how many boxes of chocolates you are buying. In this case, y represents the number of boxes. Solving the equation, you find that y = 11 , meaning you are buying 11 boxes of chocolates. This kind of problem helps in everyday calculations involving quantities and costs.
To solve the equation 12 y = 132 , we divide both sides by 12 and find that y = 11 . The correct answer is option B: y = 11 . This means that 12 times 11 equals 132, confirming our solution.
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