Set up a proportion to answer this:
[tex]\frac{1 \text{in}}{5 \text{ft}}= \frac{x \text{in}}{25 \text {ft}}[/tex]
Cross multiply:
[tex]5*x=1*25 \\
5x=25[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}= \frac{25}{5}
\\ x=5[/tex]
The scale model that matches the 25 ft side of the container will be 5 inches.
The second proportion:
[tex]\frac{1 \text{in}}{5 \text{ft}} = \frac{x \text{in}}{50 \text{ft}}[/tex]
Cross multiply:
[tex]5*x=1*50
\\5x = 50[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}= \frac{50}{5}
\\x = 10[/tex]
The part of the scale model that matches the 50 ft side of the container will be 10 inches.
