Question

A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the second is four times as long as the third. What is the length(in fett)of the longest section

Answer 1

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Explanation:

Answer 2

The length of the longest section x = 36 ft

Explanation:

Total length of the wire = 51 ft

Let first section of wire = x

Second section of wire = y

Third section of wire = z

According to given data

x = 3 y & y = 4 z

Total length of the wire = x + y + z = 51

`y + 3 y + (y)/(4) = 51`

`(17)/(4) y = 51`

y = 12

x = 3 × 12 = 36

`z = (y)/(4) = (12)/(4) = 3`

Therefore the length of the longest section x = 36 ft