find the equation and answer

Question

a 100-foot length wire is to be made into 3 extension cords.  One is to be 6 feet longer than twice the shortest, and the third is to be 8 feet less than 3 times the shortest.  What is the length of the longest cord?

Answer 1

Let the length of the shortest cord be X feet.

 

Second cord is 6 feet longer than twice X which is ( 2X +6 )feet

 

The third is 8 feet less than 3 times X which is (3X - 8 ) feet

 

The total lenth is 100 feet

 

so, X + 2X + 6 + 3X - 8 = 100

 

combining the X terms and non x-terms

 

6X = 102 

 

or X = 17

 

The other 2 cords are 40ft and 43ft

 

So length of the longest cord is 43 Feet