Ryan estimated that he walks 30 feet for every 12 steps he takes. This morning, he counted 210 steps from his house to school. How many yards is Ryan's house from school?

Aug 9, 2017

Ryan's house is $175$ yards from school.

Explanation:

The relation in such cases is of proportionality i.e. number of steps is proportional to distance and hence

$\frac{30}{12} = \frac{x}{210}$

Here distances are in feet and $x$ is distance of Ryan's house from school in yards

Hence, x=210xx30/12=cancel210^105xx(cancel30^5)/(cancel12^(cancel2)

= $105 \times 5 = 525$ feet

and dividing by $3$ we get $175$ yards

Ryan's house is $175$ yards from school.