Question

The physical education instructor asked each student to do a total of 36 pull-ups and push-ups in 1 minute. The instructor wanted students to do 8 times as many push-ups as pull-ups. Write a system of linear equations that represents this situation. How many pull-ups and push-ups were required in 1 minute?

Answer 1

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.