Mauro has 140ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be ?
+14903 Mauro has 140ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be ?
Mauro hat 140ft Seil. Er wird es in zwei Stücke schneiden, so dass die Länge des längeren Stücks das Dreifache der Länge des kürzeren Stücks beträgt. Wie lang wird das längere Stück sein?
Hello Guest!
The longer piece of rope is x.
\(\frac{x}{3}+x=140\ |form\ the\ same\ divisor\\ \frac{x+3x}{3}=140\ | * 3 \\ x+3x=140\cdot 3\ |calculate \\ 4x=420\ | : 4 \\ \color{blue}x=105\)
The length of the longer piece is 105ft.
!
