Question

A group of scouts helped rangers clear a trail after an ice storm. They cleared tree branches from 2 5/6 miles of trail the first day. On the second day, they cleared 3 1/4 miles of trail. If the length of the trail is 8 3/4 miles, how many miles of trail do they have left to clear?

Answer 1

3 and 3/4 miles

Explanation:

Answer 2

The remaining number of miles to trail will be
`3(3)/(4)` miles.

Explanation:

A group of scouts cleared tree branches from
`2(5)/(6)` i.e.
`(17)/(6)` miles of trail the first day. On the second day, they cleared
`3(1)/(4)` i.e.
`(13)/(4)` miles of trail.

Therefore, in two days they have cleared
`((17)/(6) + (13)/(4)) = (17 * 2 + 13 * 3)/(12)  = 5` miles.

If the length of the trail is
`8(3)/(4)` i.e.
`(35)/(4)` miles, then the remaining number of miles to trail will be
`(35)/(4) - 5 = (15)/(4) = 3(3)/(4)` miles. (Answer)