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Answer :
Sure! Let's go through the word problem step by step to find which equation we need to solve:
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. Define the total number of invitations Kayla needs to send:
- Kayla wants to send invitations to 20 friends.
2. Determine how many invitations are left to be sent:
- There are 12 invitations left to send out.
3. Find the number of invitations that have already been sent:
- Let [tex]\( x \)[/tex] represent the number of invitations Kayla has already sent.
4. Set up an equation:
- If there are 12 invitations left to send and the total number of invitations is 20, we can write the equation as:
[tex]\[ \text{(invitations sent)} + \text{(invitations left to send)} = \text{(total invitations)} \][/tex]
- Substituting the known values:
[tex]\[ x + 12 = 20 \][/tex]
So, the correct equation needed to solve the problem is:
[tex]\[ x + 12 = 20 \][/tex]
Therefore, the correct choice is C. [tex]\( x + 12 = 20 \)[/tex].
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. Define the total number of invitations Kayla needs to send:
- Kayla wants to send invitations to 20 friends.
2. Determine how many invitations are left to be sent:
- There are 12 invitations left to send out.
3. Find the number of invitations that have already been sent:
- Let [tex]\( x \)[/tex] represent the number of invitations Kayla has already sent.
4. Set up an equation:
- If there are 12 invitations left to send and the total number of invitations is 20, we can write the equation as:
[tex]\[ \text{(invitations sent)} + \text{(invitations left to send)} = \text{(total invitations)} \][/tex]
- Substituting the known values:
[tex]\[ x + 12 = 20 \][/tex]
So, the correct equation needed to solve the problem is:
[tex]\[ x + 12 = 20 \][/tex]
Therefore, the correct choice is C. [tex]\( x + 12 = 20 \)[/tex].
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