Question

An officer printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster, How many more photos can you print in 12 minutes using the faster printer?​

Answer 1

The home printer is faster.

We can print 6 more photos in 12 minutes using the faster printer.

Explanation:

We can find how many photos per minute each printer prints using the following formula:

`PPM = (p)/(t)`

In which p is the number of photos and t is the time in minutes.

Officer

An officer printer prints 25 photos in 12.5 minutes. This means that
`p = 25, t = 12.5`. So

`PPM = (p)/(t) = (25)/(12.5) = 2`

The officer printer prints 2 photos per minute.

Home

A home printer prints 15 photos in 6 minutes. This means that
`p = 15, t = 6`. So

`PPM = (p)/(t) = (15)/(6) = 2.5`

The home printer prints 2.5 photos per minute. So, it is faster than the office printer.

How many more photos can you print in 12 minutes using the faster printer?​

Using the officer printer, that prints 2 photos a minute, we can print 12*2 = 24 photos in 12 minutes.

Using the home printer, that prints 2.5 photos a minute, we can print 30 photos in 12 minutes. This means that we can print 6 more photos in 12 minutes using the faster printer.

Answer 2

The home printer is faster.

Explanation:

25 photos in 12.5 minutes

12.5 is half of 25 and therefore this is a two to one ratio.

So 2 photos print in 1 minute with the office printer.

And 4 photos in 2 minutes(this is relevant later)

The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.

So 5 photos in 2 minutes. This is faster than the office printer.

To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes