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Answer :
To solve the problem of how many invitations Kayla has already mailed, we can set up an equation using the information given in the word problem.
1. Understand the given information:
- Kayla is sending invitations to a total of 20 of her friends.
- There are 12 invitations left to send out.
2. Identify what we need to find:
- We need to find out how many invitations Kayla has already mailed. Let's call this number [tex]\(x\)[/tex].
3. Set up the equation:
- The total number of invitations is the sum of the invitations already mailed ([tex]\(x\)[/tex]) and the invitations left to send out (12). Therefore, we have the equation:
[tex]\[ x + 12 = 20 \][/tex]
4. Select the correct equation from the options provided:
- Option A: [tex]\(x+12=20\)[/tex]
- Option B: [tex]\(x+20=12\)[/tex]
- Option C: [tex]\(x-8=20\)[/tex]
- Option D: [tex]\(x+8=12\)[/tex]
The correct equation that represents the situation is:
[tex]\[ x + 12 = 20 \][/tex]
5. Solve the equation:
- To find [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side of the equation:
[tex]\[ x + 12 = 20 \][/tex]
[tex]\[ x = 20 - 12 \][/tex]
[tex]\[ x = 8 \][/tex]
Therefore, Kayla has already mailed 8 invitations.
So, the correct answer is option A: [tex]\(x + 12 = 20\)[/tex].
In conclusion, using this equation, we determined that Kayla has already mailed 8 invitations.
1. Understand the given information:
- Kayla is sending invitations to a total of 20 of her friends.
- There are 12 invitations left to send out.
2. Identify what we need to find:
- We need to find out how many invitations Kayla has already mailed. Let's call this number [tex]\(x\)[/tex].
3. Set up the equation:
- The total number of invitations is the sum of the invitations already mailed ([tex]\(x\)[/tex]) and the invitations left to send out (12). Therefore, we have the equation:
[tex]\[ x + 12 = 20 \][/tex]
4. Select the correct equation from the options provided:
- Option A: [tex]\(x+12=20\)[/tex]
- Option B: [tex]\(x+20=12\)[/tex]
- Option C: [tex]\(x-8=20\)[/tex]
- Option D: [tex]\(x+8=12\)[/tex]
The correct equation that represents the situation is:
[tex]\[ x + 12 = 20 \][/tex]
5. Solve the equation:
- To find [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side of the equation:
[tex]\[ x + 12 = 20 \][/tex]
[tex]\[ x = 20 - 12 \][/tex]
[tex]\[ x = 8 \][/tex]
Therefore, Kayla has already mailed 8 invitations.
So, the correct answer is option A: [tex]\(x + 12 = 20\)[/tex].
In conclusion, using this equation, we determined that Kayla has already mailed 8 invitations.
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