Question

Leonardo divides a 114 cm long rope into three parts. Two of them are equal and each is 5/9 of the third part. Calculate the measure of each part of the rope.

Answer 1

The two equal parts are 30 cm, the third part is 54 cm

Explanation:

x = third part

(5/9)x + (5/9)x + x = 114

10/9(x) + x = 114

(19/9)x = 114

x = 114(9/19) = 54

(5/9)54 = 30

Answer 2

Below

Explanation:

x = third part

5/9 x + 5/9 x + x = 114 <=======given

19/9 x = 114

x = 114 * 9/19 = 54 cm then the other two are 30 cm each