Answer: Pull-ups = 4 and push up = 32
Step-by-step explanation:
Let x represents number of pull ups in one minute.
And, y represents number of push ups in one minute.
Therefore, According to the question,
Each student to do a total of 36 pull-ups and push-ups in 1 minute.
⇒ x+y= 36
But, again from equation, The instructor wanted students to do 8 times as many push-ups as pull-ups.
Therefore, 8x = y
Thus, required system of linear equations that represents this situation is,
x+y= 36 and 8x = y , where x is the number of pull ups and y is the number of push ups in one minute.
By solving these two equations we get, x=4 and y= 32
That is, In one minute 4 pull ups and 32 push ups are required.