Question

On a tractor, the diameter of the large tire is 5 feet and the diameter of the small tire is 3 feet 9 inches. A sketch is given 5 feet 3 ft 9 in Atoy tractor is made to scale from the actual tractor. On the toy tractor, the diameter of the large tire is 8 inches. What is the diameter, in inches, of the small tire on the toy tractor?

Answer 1

we get that the measure of the tires in inches for the real tractor are:

$5\cdot12=60in,3\cdot12+9=45in$

so the scale factor is

$\frac{8}{60}=\frac{2}{15}$

so the small tire on the toy tractor measure:

$\frac{2}{15}\cdot45=6$

6 in