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This problem describes a system of linear equations based on different ball weights. Let's define variables for the weights of the balls:

- Let \( B \) be the weight of a basketball.
- Let \( F \) be the weight of a soccer ball (football).
- Let \( V \) be the weight of a volleyball.

From the problem, we get the following equations:

1. **First weighing:**
   \( 2B + F + 3V = 2500 \) (g)

2. **Second weighing:**
   \( B + 2F + 2V = 2050 \) (g)

3. **Third weighing:**
   \( 2B + V = 1550 \) (g)

We now have three equations with three unknowns:

\[
\begin{aligned}
1) & \quad 2B + F + 3V = 2500 \\
2) & \quad B + 2F + 2V = 2050 \\
3) & \quad 2B + V = 1550
\end{aligned}
\]

I'll solve this system of equations to find the values of \( B \), \( F \), and \( V \).The weights of the different types of balls are as follows:

- The basketball \( B \) weighs **650 grams**.
- The soccer ball \( F \) weighs **450 grams**.
- The volleyball \( V \) weighs **250 grams**.

Would you like a detailed explanation of how the solution was derived? 

Here are 5 related questions for further practice:
1. What would happen if the number of volleyballs increased in the first equation?
2. Can you form a new equation if another weighing is done with 3 basketballs and 1 soccer ball?
3. How can you verify the results of the system of equations?
4. What are the possible outcomes if one of the balls has a variable weight?
5. How would the equations change if the weights were given in kilograms?

**Tip:** When solving systems of equations, always check the results by substituting them back into the original equations to verify correctness.

Kinan weighs two basketballs, a soccer ball, and three volleyballs for a total of 2500 grams. The second weighing involves one basketball, two soccer balls, and two volleyballs totaling 2050 grams. In the third weighing, two basketballs and one volleyball weigh 1550 grams. What is the weight of each type of ball?

Learn how to solve a system of equations involving the weights of basketballs, soccer balls, and volleyballs. This problem is ideal for students in Grades 7-9 and involves applying algebraic methods like substitution and elimination.

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