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#1**+1 **

L + L + 5 + 2L =36...........................(1)

L + L + 5 + 2[L + 5]=36....................(2)

From (1) above:

L =31/4 =7.75 - inches - the shortest piece

7.75 + 5 =12.75 - inches-the 2nd longest piece.

7.75 x 2 =15.5 - inches -the longest piece.

From (2) above:

L =21/4 =5.25 - inches - the shortest piece

5.25 + 5=10.25 - inches - the 2nd longest piece

10.25 x 2=20.50 - inches- the longest piece

**15.50 + 20.50 =36 - inches - the sum of the longest pieces.**

Guest Mar 14, 2019

#5**0 **

actively collecting, as if you intend on publishing some sort of study guide to these problems.

Rom
Mar 15, 2019

#6**0 **

Oh, no. These are just questions that I don't have the solutions to and I can't figure out how to do them. I have attempted them already, but I keep getting the wrong answer. It's not like I'm cheating or something. I just need some help.

dgfgrafgdfge111
Mar 15, 2019

#8**+1 **

Case 1: 1st rope: x, 2nd rope: x+5, and the third rope 2x.

So, 4x+5=36, 4x=31, x=7.75 and 7.75*2=15.5 inches

Case 2: 1st rope: x, 2nd rope: x+5, and the third rope 2x+10.

So, 4x+15=36, 4x=21, x=21/4=5.35, and 2(10.25)=20.5 inches.

Case 3: x, 2x, 2x+5, and we have 5x+5=36, 5x=41, x=8.2 and 2(8.2)=16.4+5=21.4.

Case 4 There are other cases, maybe 2x, 4x, 4x+5 gives 10x+5=36, x=3.1 and 4(3.1)+5=17.4

This is 74.8 and there is another 16?

How about 2x, 2x+5, and 4x. 15.5?

tertre Mar 15, 2019

#9**+3 **

Got it

The longest peice could be 15.5, 20.5, 17.4, 16.4, or 21 added together this is exactly 90.8 inches

So there are 5 different possibilies on how the rope is cut. (only lenghths are important, not the order thay are cut in)

Rather than spoil everyone's fun I will let you individually work out what these 5 double cuts are.

Hint: Let one peice be a and another a+5. You have to work out the other one. (5 possibilities.)

Melody Mar 15, 2019

#13**0 **

Let me see if I can figure out the possibilities:

- a, a+5, and 2a
- a, a+5, 2a+10
- a, 2a, 2a+5
- 2a,4a,4a+5
- 2a,2a+5,4a+10
- a+5,2a+10, 2a+15
- a+5, a+10, 2a+20

I tried 4-7, but the results come out to be the same as 1-3. What are the other cases?

dgfgrafgdfge111
Mar 16, 2019