Question

Melvin plays tennis and swims for a total of 110 minutes every day. He plays tennis for 40 minutes longer than he swims. Part A: Write a pair of linear equations to show the relationship between the number of minutes Melvin plays tennis (x) and the number of minutes he swims (y) every day. (5 points) Part B: How much time does Melvin spend swimming every day? Show your work. (3 points) Part C: Is it possible for Melvin to have spent 70 minutes playing tennis if he plays and swims for a total of exactly 110 minutes and plays tennis for 40 minutes longer than he swims? Explain your reasoning. (2 points)

Answer 1

See below

Explanation:

Part A:

⇒ Y represents the amount of swimming

⇒ X represents the amount of tennis

Now, creating to equations:

• y + 40 = x
• x + y = 110

Part B:

⇒ First equation is substituted for X in the other equation.

Gives us the plug in:

• y + 40 + y = 110
• 2y = 70

⇒ Y = 35 minutes of swimming

⇒ Adding :

35 + 40 = 75 minutes of swimming per day.

Part C:
No, due to the equation ⇒ 70 + (70 - 40) = 100

Therefore, making this statement impossible.