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?
Accepted Solution
A:
Answer:[tex]436.75\ m[/tex] or [tex]436\frac{3}{4}\ m[/tex]Step-by-step explanation:Letx --------> meters of the trail that passes through forest y --------> meters of the trail that passes through meadows we know that[tex]x+y=675[/tex] ------> equation A[tex]y=2(24\frac{3}{4})+3(52.25)+32[/tex]Remember that[tex]24\frac{3}{4}=24.75[/tex]substitute[tex]y=2(24.75)+3(52.25)+32[/tex][tex]y=238.25[/tex] ----> equation Bsubstitute equation B in equation A and solve for x[tex]x+238.25=675[/tex][tex]x=675-238.25[/tex][tex]x=436.75\ m[/tex]or[tex]x=436\frac{3}{4}\ m[/tex]