SOLUTION: Hi A strip of paper was cut into 2 pieces in the ratio of 1:2. The longer piece was then cut into 2 pieces in the ratio of 3:4. The difference between length of the longest piece

Question 1176917: Hi
A strip of paper was cut into 2 pieces in the ratio of 1:2. The longer piece was then cut into 2 pieces in the ratio of 3:4. The difference between length of the longest piece and the shortest piece was 12cm. What was the length of the paper before it was cut.
Thanks
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It helps to draw this.
the paper is in pieces x and 2x
the 2x is divided in a 3:4 ratio and the resulting pieces are (6/7)x and (8/7)x to make a 3:4 ratio--(2x/7)*3 and *4.
The shortest piece of the three is (6/7)x, so the difference is (8/7)x-(6/7)x=(2/7)x=12 cm.
x=42 cm
2x=84 cm
the answer is the sum or 126 cm
the 84 cm length side is divided up into 36 cm and 48 cm sizes.
RELATED QUESTIONS
A piece of wire was cut into 2 pieces in the ratio 4:7. The longer piece was 42 cm .... (answered by addingup)

Hi A gold bar is first cut into 2 pieces in the ratio of 2:5 . The heavier piece is then (answered by ikleyn)

A ribbon measuring (v+4) feet in length was cut into two pieces in the ratio 3:7. What... (answered by macston)

A 24 inch string is cut into two pieces, one piece was 3 1/2 inches longer than the... (answered by algebrahouse.com)

a 3.5 meter ribbon is cut into 4 pieces in the ratio 1:2:3:4. find the length of the... (answered by josmiceli)

A board is 18 inches long is cut into two pieces in the ratio 2:7. Find the length of... (answered by scott8148)

A ribbion measuring (v+4) feet in length was cut into two pieces in the ratio of 3:7.... (answered by macston)

A piece of wire 112cm in length is cut into two pieces such that the ratio of the lengths (answered by Alan3354)

Please help me solve this. Alice cut a rope 90 meters long into two pieces in the ratio... (answered by MathLover1)