Question

Coach Johnson knows that this system of equations represents the number of tickets sold before the tournament, x, and at the door, y.
x + y = 743
x – y = 75
An assistant told him that 409 tickets were sold at the door and 334 tickets were sold before the tournament. Is this solution correct? Explain.

Answer 1

Answer: No. The assistant is wrong as 334 tickets were sold at the door and 409 tickets were sold before the tournament.

Explanation:

To know if the number of tickets sold at the door and before the tournament as stated by the assistant is correct, we've to solve the equation given.

x + y = 743 ......... i

x – y = 75 ........... ii

Add the equations together

2x = 818

Divide both side by 2

2x/2 = 818/2

x = 409

Since x + y = 743

Therefore, 409 + y = 743

y = 743 - 409

y = 334

Therefore, 334 tickets were sold at the door and 409 tickets were sold before the tournament.

Therefore, the assistant is wrong as 334 tickets were sold at the door and 409 tickets were sold before the tournament.

Answer 2

Answer:

No, the assistant’s solution is incorrect. The solution (334, 409) satisfies the first equation, but not the second. The assistant mixed up the numbers. The solution should be (409, 334)

Explanation: