Select the best answer for the question.
1. Solve this equation: [tex]2 s+s+12=132[/tex].
A. [tex]s=120[/tex]
B. [tex]s=9[/tex]
C. [tex]s=-30[/tex]
D. [tex]s=40[/tex]
Answer (1)
Combine like terms: 2 s + s + 12 = 3 s + 12 = 132 .
Subtract 12 from both sides: 3 s = 120 .
Divide both sides by 3: s = 40 .
The solution to the equation is s = 40 .
Explanation
Understanding the Problem We are given the equation 2 s + s + 12 = 132 . Our goal is to solve for s .
Combining Like Terms First, we combine the like terms on the left side of the equation. We have 2 s + s = 3 s . So the equation becomes 3 s + 12 = 132 .
Isolating the Variable Term Next, we want to isolate the term with s . To do this, we subtract 12 from both sides of the equation: 3 s + 12 − 12 = 132 − 12 , which simplifies to 3 s = 120 .
Solving for s Now, we want to isolate s . To do this, we divide both sides of the equation by 3: 3 3 s = 3 120 , which simplifies to s = 40 .
Final Answer Therefore, the solution to the equation is s = 40 .
Examples
Imagine you are buying a certain number of items, and each item costs the same amount, s . You buy 2 of these items one day and 1 of these items another day. Additionally, you pay a fixed shipping fee of $12. If your total bill is $132, the equation 2 s + s + 12 = 132 helps you determine the cost, s , of each item. By solving this equation, you find that each item costs $40.
