Answer :
To solve the problem of how many friends Mitch can treat with candy bars, let's break it down step by step using the information given:
1. Understanding the Problem:
- Mitch wants to give 2 candy bars to each friend.
- He also wants to have 10 spare candy bars after distributing them to his friends.
- He can afford to buy a total of 24 candy bars.
2. Setting Up the Equation:
- Let [tex]\( f \)[/tex] be the number of friends Mitch can treat.
- Since he wants to give 2 candy bars to each friend, the total number of candy bars needed for his friends is [tex]\( 2f \)[/tex].
- Additionally, he wants 10 spare candy bars, so he needs [tex]\( 2f + 10 \)[/tex] candy bars in total.
- We know he can afford to buy 24 candy bars.
3. Forming the Algebraic Equation:
- We can set up the equation based on the total candy bars he can afford:
[tex]\[
2f + 10 = 24
\][/tex]
This equation helps us determine how many friends Mitch can cater to with 24 candy bars in total.
The correct algebraic sentence for this situation is:
[tex]\[ 2f + 10 = 24 \][/tex]
1. Understanding the Problem:
- Mitch wants to give 2 candy bars to each friend.
- He also wants to have 10 spare candy bars after distributing them to his friends.
- He can afford to buy a total of 24 candy bars.
2. Setting Up the Equation:
- Let [tex]\( f \)[/tex] be the number of friends Mitch can treat.
- Since he wants to give 2 candy bars to each friend, the total number of candy bars needed for his friends is [tex]\( 2f \)[/tex].
- Additionally, he wants 10 spare candy bars, so he needs [tex]\( 2f + 10 \)[/tex] candy bars in total.
- We know he can afford to buy 24 candy bars.
3. Forming the Algebraic Equation:
- We can set up the equation based on the total candy bars he can afford:
[tex]\[
2f + 10 = 24
\][/tex]
This equation helps us determine how many friends Mitch can cater to with 24 candy bars in total.
The correct algebraic sentence for this situation is:
[tex]\[ 2f + 10 = 24 \][/tex]
