Answer :
To determine the cost of the pants, we need to set up an equation that accurately represents the situation given in the problem. Let’s break down the information step-by-step:
1. Identify the known quantities:
- Sal bought 2 shirts.
- Each shirt costs [tex]$10. - The total cost for all items (shirts and pants) is $[/tex]50.
2. Let [tex]\( x \)[/tex] represent the cost of the pants.
3. Construct an equation using the given information:
- The total cost should be the sum of the cost of 2 shirts and the cost of the pants.
- Since each shirt costs [tex]$10, the cost for 2 shirts is \( 2 \times 10 = 20 \) dollars. 4. Write down the equation that sums up the total cost: - The total cost is composed of the cost of the shirts plus the cost of the pants. - Therefore, the equation is: \( 10 + 10 + x = 50 \). 5. Verify the equation matches the structure of the options given: - (A) \( 10 + 10 + x = 50 \) - (B) \( 10 + x = 50 \) - (C) \( x = 50 + 10 \) - (D) \( 10 + 10 = 50 + x \) 6. Identify the correct option: - Option (A) \( 10 + 10 + x = 50 \) correctly represents that the total cost is the sum of the cost of two shirts and the pants, equaling $[/tex]50.
- Hence, option (A) correctly represents the situation described in the problem.
Therefore, the correct equation is: [tex]\( 10 + 10 + x = 50 \)[/tex], which is option (A).
1. Identify the known quantities:
- Sal bought 2 shirts.
- Each shirt costs [tex]$10. - The total cost for all items (shirts and pants) is $[/tex]50.
2. Let [tex]\( x \)[/tex] represent the cost of the pants.
3. Construct an equation using the given information:
- The total cost should be the sum of the cost of 2 shirts and the cost of the pants.
- Since each shirt costs [tex]$10, the cost for 2 shirts is \( 2 \times 10 = 20 \) dollars. 4. Write down the equation that sums up the total cost: - The total cost is composed of the cost of the shirts plus the cost of the pants. - Therefore, the equation is: \( 10 + 10 + x = 50 \). 5. Verify the equation matches the structure of the options given: - (A) \( 10 + 10 + x = 50 \) - (B) \( 10 + x = 50 \) - (C) \( x = 50 + 10 \) - (D) \( 10 + 10 = 50 + x \) 6. Identify the correct option: - Option (A) \( 10 + 10 + x = 50 \) correctly represents that the total cost is the sum of the cost of two shirts and the pants, equaling $[/tex]50.
- Hence, option (A) correctly represents the situation described in the problem.
Therefore, the correct equation is: [tex]\( 10 + 10 + x = 50 \)[/tex], which is option (A).