Question

The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airplane to the nearest foot?

a.87ft
b.104ft
c.127ft
d.73ft

Answer 1

`\bf \cfrac{\stackrel{model}{length}}{\stackrel{actual}{length}}\qquad 1:83\qquad \cfrac{1}{83}\implies \cfrac{1}{83}=\cfrac{10.5}{x}\implies x=\cfrac{83\cdot 10.5}{1} \\\\\\ x=871.5~inches \\\\\\ \textit{there are 12 inches in 1 foot, thus } \\\\\\ 871.5~\underline{in}\cdot \cfrac{ft}{12~\underline{in}}\implies 72.625~ft \qquad \approx 73~ft`