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Answer :
To solve the problem, we need to find out how many invitations Kayla has already mailed if she has 12 invitations left to send out to a total of 20 friends.
Here's a step-by-step explanation:
1. Understand the Total and Remaining Invitations:
- Kayla is sending invitations to a total of 20 friends.
- She has 12 invitations left to send.
2. Set Up the Equation:
- Let [tex]\( x \)[/tex] represent the number of invitations Kayla has already mailed.
- The total invitations she wants to send is 20.
- If she has already mailed [tex]\( x \)[/tex] invitations, then the number of invitations left to mail is given by the difference:
[tex]\[
20 - x = 12
\][/tex]
- Rewriting this scenario mathematically:
[tex]\[
x + 12 = 20
\][/tex]
- This is because the total invitations minus the mailed invitations should equal the invitations left.
3. Solve the Equation:
- Now we solve [tex]\( x + 12 = 20 \)[/tex] to find [tex]\( x \)[/tex].
- Subtract 12 from both sides:
[tex]\[
x = 20 - 12
\][/tex]
- Calculate:
[tex]\[
x = 8
\][/tex]
Therefore, Kayla has already mailed 8 invitations. The correct equation to choose from the options is [tex]\( x + 12 = 20 \)[/tex], which corresponds to option D.
Here's a step-by-step explanation:
1. Understand the Total and Remaining Invitations:
- Kayla is sending invitations to a total of 20 friends.
- She has 12 invitations left to send.
2. Set Up the Equation:
- Let [tex]\( x \)[/tex] represent the number of invitations Kayla has already mailed.
- The total invitations she wants to send is 20.
- If she has already mailed [tex]\( x \)[/tex] invitations, then the number of invitations left to mail is given by the difference:
[tex]\[
20 - x = 12
\][/tex]
- Rewriting this scenario mathematically:
[tex]\[
x + 12 = 20
\][/tex]
- This is because the total invitations minus the mailed invitations should equal the invitations left.
3. Solve the Equation:
- Now we solve [tex]\( x + 12 = 20 \)[/tex] to find [tex]\( x \)[/tex].
- Subtract 12 from both sides:
[tex]\[
x = 20 - 12
\][/tex]
- Calculate:
[tex]\[
x = 8
\][/tex]
Therefore, Kayla has already mailed 8 invitations. The correct equation to choose from the options is [tex]\( x + 12 = 20 \)[/tex], which corresponds to option D.
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