# A scale model house is 1 ft long. The actual house is 50 ft of a 14. long. In the model, the window is 15 in. high. How many feet high is the actual window?

Jun 12, 2017

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#### Explanation:

Let the actual height of the window be ${h}_{w}$

Using ratio in fractional form:

$\left(\text{actual length")/("scale length")" "->" "50/1" "-=" "(h_w" inches")/(15" inches}\right)$

Where $\equiv$ means 'equivalent to.

Multiply both sides by $\textcolor{red}{15}$

$\textcolor{g r e e n}{\frac{50}{1} \textcolor{red}{\times 15} \text{ "=" } {h}_{w} / 15 \textcolor{red}{\times 15}}$

$50 \times 15 \text{ "=" } {h}_{w} \times \frac{15}{15}$

but $\frac{15}{15}$ is the same as the value 1 giving

${h}_{w} \text{ "=" "50xx15" "=" "750" inches}$

${h}_{w} \text{ "=" "750/12" feet "=" "62 1/2" feet}$