Question

(04.01, 04.02 HC)

Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he plays volleyball.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Eric plays basketball x) and the number of minutes he
plays volleyball (y) every day. (5 points)
Part B: How much time doos Eric spend playing volleyball every day? Show your work. (3 points)
Part C: Is it possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball (or 25 minutes
longer than he plays volleyball? Explain your reasoning. (2 points)

Answer 1

I’ve broken it down into the parts that you’ve highlighted:

Part A:
x = 25 + y
x + y = 95

Part B:
I’m using the substitution method to find the amount of time that Eric plays volleyball, so:
x + y = 95
x = 95 - y
95 - y = 25 + y
70 = 2y
y = 35, 35 minutes spent playing volleyball

Part C: i don’t completely understand the question, perhaps there was a typo?