Question

Sandra's printer can print 5 pages in 2/3 of a minute (40s). Show different ways to determine how many pages her printer can print in 1 minute.

Answer 1

`7(1)/(2)` pages

Explanation:

Method 1: Working with minutes

Let us assume that, Sandra's printer can print x pages in 1 minute.

Then we can write the equation:

`x:1=5:(2)/(3)`

We can rewrite the ratios as a fraction.

`(x)/(1)=(5)/((2)/(3))`

This simplifies to

`x=(15)/(2)`

Or

`x=7(1)/(2)`

Method 2: Working with seconds

If 5 pages corresponds to 40 seconds, then we can write:
`5:40`

Let y corresponds to 60 seconds (1 minutes).

Then:

`y:60=5:40`

We rewrite as fraction:

`(y)/(60)=(5)/(40)`

Multiply both sides by:

`y=(5)/(40)* 60`

`y=(300)/(40)`

`y=(15)/(2)`

`y=7(1)/(2)`