Sure, let's break down the problem step by step.
1. Understand the problem:
- Jennifer has answered 13 questions.
- The total number of questions on the quiz is 25.
- We need to find out how many questions she has left to answer.
2. Define the unknown:
- Let [tex]\( x \)[/tex] represent the number of questions Jennifer has left to answer.
3. Set up the equation based on the problem:
- Since Jennifer has answered 13 questions and there are 25 questions in total, we can represent the relationship with the equation:
[tex]\[
x + 13 = 25
\][/tex]
This is because the number of questions she has left to answer (x) plus the number of questions she has already answered (13) equals the total number of questions (25).
4. Solve the equation for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], subtract 13 from both sides of the equation:
[tex]\[
x + 13 - 13 = 25 - 13
\][/tex]
[tex]\[
x = 12
\][/tex]
5. Verify the correct choice:
- We have established that the correct equation to solve the problem is [tex]\( x + 13 = 25 \)[/tex] and that [tex]\( x = 12 \)[/tex].
6. Identify the correct option:
- Equation B ([tex]\( x + 13 = 25 \)[/tex]) aligns with our derived equation.
Therefore, the correct equation to solve the word problem is:
[tex]\[ \boxed{B. \, x + 13 = 25} \][/tex]
With this equation, we find that Jennifer has [tex]\( \boxed{12} \)[/tex] questions left to answer.
