Answer:
[tex]7\frac{1}{2}[/tex] 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:
[tex]x:1=5:\frac{2}{3}[/tex]
We can rewrite the ratios as a fraction.
[tex]\frac{x}{1}=\frac{5}{\frac{2}{3}}[/tex]
This simplifies to
[tex]x=\frac{15}{2}[/tex]
Or
[tex]x=7\frac{1}{2}[/tex]
Method 2: Working with seconds
If 5 pages corresponds to 40 seconds, then we can write: [tex]5:40[/tex]
Let y corresponds to 60 seconds (1 minutes).
Then:
[tex]y:60=5:40[/tex]
We rewrite as fraction:
[tex]\frac{y}{60}=\frac{5}{40}[/tex]
Multiply both sides by:
[tex]y=\frac{5}{40}\times 60[/tex]
[tex]y=\frac{300}{40}[/tex]
[tex]y=\frac{15}{2}[/tex]
[tex]y=7\frac{1}{2}[/tex]
