Jack's mother gave him 
\[50\] chocolates to give to his friends at his birthday party. He gave 
\[3\] chocolates to each of his friends and still had 
\[2\] chocolates left.
Write an equation to determine the number of friends 
\[(x)\] at Jack's party.
Find the number of friends at Jack's party.
 friends


Let \( x \) represent the number of friends Jack has at his party. According to the problem:

1. Jack's mother gave him 50 chocolates.
2. He gave each friend 3 chocolates.
3. He had 2 chocolates left after distributing to his friends.

We can write an equation based on the information given:

\[
3x + 2 = 50
\]

### Solving for \( x \):

1. Subtract 2 from both sides:

   \[
   3x = 50 - 2
   \]

   \[
   3x = 48
   \]

2. Divide both sides by 3:

   \[
   x = \frac{48}{3}
   \]

   \[
   x = 16
   \]

### Answer:
Jack had **16 friends** at his party.

Would you like further explanation on the solution process? 

---

1. What would the equation look like if each friend received 4 chocolates instead of 3?
2. How many chocolates would he need if he had 20 friends and still wanted 2 left?
3. What if Jack had given 5 chocolates to each friend and ended up with 5 chocolates left?
4. How would the solution change if he gave chocolates to only half of his friends?
5. How could you generalize this type of problem for any amount of chocolates given and leftovers?

**Tip:** When setting up equations, look for relationships in the problem, like total and leftover amounts, to frame it in terms of variables.

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party. Find the number of friends at Jack's party.

Learn how to solve a linear equation to find the number of friends at Jack's birthday party, given 50 chocolates, 3 per friend, and 2 left over. This solution explains key algebraic concepts, suitable for Grades 6-8.

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