document.write( "Question 1176917: Hi
\n" );
document.write( "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.
\n" );
document.write( "Thanks \n" );
document.write( "
Algebra.Com's Answer #805182 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! It helps to draw this. \n" ); document.write( "the paper is in pieces x and 2x \n" ); document.write( "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. \n" ); document.write( "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. \n" ); document.write( "x=42 cm \n" ); document.write( "2x=84 cm \n" ); document.write( "the answer is the sum or 126 cm \n" ); document.write( "the 84 cm length side is divided up into 36 cm and 48 cm sizes. \n" ); document.write( " |