Question

If a piece of rope 20 ft long is cut into 2 pieces so that one is 2/3 as long as the other, how long will the longer piece be?, Rob 7​

Answer 1

Step-by-step explanation:



USE AN ALGEBRAIC APPROACH

 

Arielle J.

 asked • 09/09/14

a cable 20 ft long is cut into two pieces the length of one piece is two-third of the legnth of the other piece.

Fine the length of the shorter piece.

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Gregory D. answered • 09/09/14

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Algebra approach: Let S be the shorter length, and L be the longer length. We know two equations for S and L:

 

S = (2/3)*L

 

S + L = 20 ft

 

We want to find S, so we eliminate L.  From the first equation, solve for L and you get

 

L = (3/2)*S

 

Now replace L by S in the second equation:

 

S + (3/2)*S = 20 ft

 

Solve for S:

 

(1 + 3/2)*S = (5/2)*S = 20 ft

 

S = (2/5)*20 ft

 

S = 8 ft <---Answer.

 

Check: 8 ft is 2/3 of 12 ft, so L = 12 ft.  S + L = 8 ft + 12 ft = 20 ft. The answer checks out.

Answer 2

Answer:

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