Math Word problem about ratio

A 6.4 m rope is cut into three parts of different lengths. The ratio of the length of the first part to the length of the second part is 4:5. The last part is 80 cm longer than the second part. Find the length of the longest part in meters.

Please help, I'm very confused.
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1 Answer

Let x be the length of the first part, then the length of the second part is 5x/4, and the length of the last part is 5x/4+0.8 metres. Since the total length of the three parts is 6.4m,

x+5x/4+5x/4+0.8=6.4,

14x/4=6.4-0.8=5.6,

14x=22.4, x=1.6m, the first part.

The second part is 5×1.6/4=2m long.

The third part is 2.8m long.

CHECK 1.6+2+2.8=6.4

by Top Rated User (1.2m points)

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