Your Teacher Ask You To Divide 160 Meter Rope Into 3 Pieces In The Ratio Of 7:8::9. What Will Be The Length Of Each Rope.

Your teacher ask you to divide 160 meter rope into 3 pieces in the ratio of 7:8::9. What will be the length of each rope.

 

Answer:

smallest rope = 140/ 3 meters

longer rope = 160/ 3 meters

longest rope = 60 meters

Step-by-step explanation:

Given: ratio of 7:8::9

            160 meter rope

Ask: What will be the length of each rope?

Solution:

7x + 8x + 9x = 160 (combine like terms)

24x = 160

24x = 160

  24      24

x = 20/3

Substitute the value of x for 7x, 8x and 9x respectively to get the length of each rope.

For 7x,

=7(20/3)

= 140/3 meters

For 8x,

=8(20/3)

=160/3 meters

For 9x,

=9(20/3)

=60 meters