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

Answer:

$7\frac{1}{2}$ pages

Step-by-step 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:

$x:1=5:\frac{2}{3}$

We can rewrite the ratios as a fraction.

$\frac{x}{1}=\frac{5}{\frac{2}{3}}$

This simplifies to

$x=\frac{15}{2}$

Or

$x=7\frac{1}{2}$

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:

$\frac{y}{60}=\frac{5}{40}$

Multiply both sides by:

$y=\frac{5}{40}\times 60$

$y=\frac{300}{40}$

$y=\frac{15}{2}$

$y=7\frac{1}{2}$