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Answer :
Sure, let's solve the problem step by step.
Word Problem:
Kayla is sending invitations to 20 of her friends for a pizza party. If there are 12 invitations left to send out, how many invitations has she already mailed?
Step-by-Step Solution:
1. Identify the total number of invitations Kayla plans to send:
Kayla plans to send a total of 20 invitations.
2. Identify the number of invitations left to send:
There are 12 invitations left for Kayla to send out.
3. Set up the equation:
Let's use [tex]\( x \)[/tex] to represent the number of invitations Kayla has already mailed. According to the problem, the total invitations can be divided into those already sent and those left to be sent out. This relationship can be represented by the equation:
[tex]\[
x + 12 = 20
\][/tex]
Here, [tex]\( x \)[/tex] (invitations already mailed) plus 12 (invitations left to send out) equals 20 (total invitations).
4. Select the correct equation:
From the options given:
- A. [tex]\( x - 8 = 20 \)[/tex]
- B. [tex]\( x + 20 = 12 \)[/tex]
- C. [tex]\( x + 12 = 20 \)[/tex]
- D. [tex]\( x + 8 = 12 \)[/tex]
The correct equation is:
[tex]\[
\boxed{x + 12 = 20}
\][/tex]
So, the equation needed to solve the problem is:
[tex]\[ x + 12 = 20 \][/tex]
This corresponds to option C.
Word Problem:
Kayla is sending invitations to 20 of her friends for a pizza party. If there are 12 invitations left to send out, how many invitations has she already mailed?
Step-by-Step Solution:
1. Identify the total number of invitations Kayla plans to send:
Kayla plans to send a total of 20 invitations.
2. Identify the number of invitations left to send:
There are 12 invitations left for Kayla to send out.
3. Set up the equation:
Let's use [tex]\( x \)[/tex] to represent the number of invitations Kayla has already mailed. According to the problem, the total invitations can be divided into those already sent and those left to be sent out. This relationship can be represented by the equation:
[tex]\[
x + 12 = 20
\][/tex]
Here, [tex]\( x \)[/tex] (invitations already mailed) plus 12 (invitations left to send out) equals 20 (total invitations).
4. Select the correct equation:
From the options given:
- A. [tex]\( x - 8 = 20 \)[/tex]
- B. [tex]\( x + 20 = 12 \)[/tex]
- C. [tex]\( x + 12 = 20 \)[/tex]
- D. [tex]\( x + 8 = 12 \)[/tex]
The correct equation is:
[tex]\[
\boxed{x + 12 = 20}
\][/tex]
So, the equation needed to solve the problem is:
[tex]\[ x + 12 = 20 \][/tex]
This corresponds to option C.
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