SOLUTION: Please help me solve this. Alice cut a rope 90 meters long into two pieces in the ratio 2:3. What is the length of the longer piece of rope?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this. Alice cut a rope 90 meters long into two pieces in the ratio 2:3. What is the length of the longer piece of rope?      Log On


   

Question 678852: Please help me solve this. Alice cut a rope 90 meters long into two pieces in the ratio 2:3. What is the length of the longer piece of rope?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

90m long into two pieces x and y in the ratio 2%3A3:
x%3Ay=2%3A3
the ratio 2%3A3 means you need divide 90m by 5 to find out what is a length that you will multiply by 2 to find x, and by 3 to find y
x=%2890m%2F5%292
x=36m

y=%2890m%2F5%293
y=54m
check is the ratio of these lengths same as the ratio 2%3A3

x%3Ay=2%3A3
36cross%28m%29%2F54cross%28m%29=2%2F3
36%2F54=2%2F3
0.66666666666666666666666666666667=0.66666666666666666666666666666667..so, this confirms our answer