Twenty-five Foot Board

[nycmathguy]

A 25-foot-long board is to be cut into two parts. The longer part is 1 foot more than twice the shortest part. How long is each part?

Let me see.

So, 25 divided into two parts = x and 25 - x.

Let 25 - x = longer part.

Agree? Can x also be set as the longer side?

Set Up:

25 - x = 1 + 2x

Makes sense?

 

[MathLover1]

correct

you can set 25 - x = longer part
also x can be set as the longer side

 

[nycmathguy]

correct

you can set 25 - x = longer part
also x can be set as the longer side

Very good but like everything in math, questions will get increasingly harder.

 

[Country Boy]

One part of the board has length x feet. The other part has length 2x+ 1.
x+ 2x+ 1= 25
3x+ 1= 25
3x= 24
x= 8. One board is 8 feet long, the other is 2(8)+ 1= 17 feet long.

 

[nycmathguy]

One part of the board has length x feet. The other part has length 2x+ 1.
x+ 2x+ 1= 25
3x+ 1= 25
3x= 24
x= 8. One board is 8 feet long, the other is 2(8)+ 1= 17 feet long.

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