A photocopier copies 80 pages in 4 minutes.

How much time will he take to copy 200 pages?

Can someone pleas explain how to do it.

please*

80/4 = 20 pages per minute

200 / 20 = ________ minutes

thx

To find out how much time the photocopier will take to copy 200 pages, we can use a proportion based on the information given.

First, we calculate the copying rate per minute by dividing the number of pages copied by the time it takes:

Copying rate = Number of pages / Time

In this case, the copying rate is 80 pages in 4 minutes, so the copying rate is 80/4 = 20 pages per minute.

Next, we can set up a proportion to find the time it takes to copy 200 pages:

(20 pages / 1 minute) = (200 pages / x minutes)

In this proportion, "x" represents the unknown time it takes to copy 200 pages.

Now, we can solve this proportion by cross-multiplying:

20x = 200

Divide both sides of the equation by 20:

x = 200 / 20

Simplifying the division gives us:

x = 10

Therefore, the photocopier will take 10 minutes to copy 200 pages.

To summarize:
1. Calculate the copying rate per minute: 80 pages / 4 minutes = 20 pages per minute.
2. Set up a proportion: (20 / 1) = (200 / x)
3. Cross-multiply: 20x = 200
4. Solve for x: x = 200 / 20 = 10 minutes.