Question

How many yards are in 1 mile 300ft?

Answer 1

1860 yards

Step-by-step explanation

to solve this we need to know some equivalences:

`\begin{gathered} 1\text{ mile=1760 yd} \\ 3\text{ ft = 1 yd} \end{gathered}`

so, the equivalent fractions are

`\frac{1760\text{ yd}}{1mi}=1\text{ and }\frac{1\text{ yd}}{3ft}=1`

note that the equivalent fractios equal 1, so we are not changing the amoun, but the unit of measure

Step 1

a) convert the (1) mile into yards,

`\begin{gathered} 1mile \\ 1\text{ mile\lparen}\frac{1760\text{ yd}}{1mile}\text{\rparen=1760 yd} \end{gathered}`

hence, 1 mile equals 1760 yd

b) now,converth the ft into yards

`\begin{gathered} 330\text{ ft} \\ 300\text{ ft\lparen}\frac{1\text{ yd}}{3\text{ ft}}\text{\rparen=100 yd} \end{gathered}`

c) finally, add the measures

`\begin{gathered} 1\text{ mile 300 ft= 1760 yd +100 yd} \\ 1\text{ mile 300 ft=1860 yd} \end{gathered}`

therefore, the answer is 1860 yards

I hope this helps you