Question

A 675-meter bike trail passes through forest and meadows . There are six legs of the trail that cut through meadows: two legs measure 24 3/4 meters, three legs measure 52.25 meters, and one leg 32 meters. The rest of the trail passes through forest. How many meters of the trail pass through the forest?

Answer 1

436.75

Explanation:

Answer 2

`436.75\ m` or
`436(3)/(4)\ m`

Explanation:

Let

x --------> meters of the trail that passes through forest

y --------> meters of the trail that passes through meadows

we know that

`x+y=675` ------> equation A

`y=2(24(3)/(4))+3(52.25)+32`

Remember that

`24(3)/(4)=24.75`

substitute

`y=2(24.75)+3(52.25)+32`

`y=238.25` ----> equation B

substitute equation B in equation A and solve for x

`x+238.25=675`

`x=675-238.25`

`x=436.75\ m`

or

`x=436(3)/(4)\ m`