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Workings

Hint
Only one of the ropes was exactly 33 feet.

Answer
First  = 34 feet.
Second = 33 feet.
Third  = 32 feet.

Reasoning
This question can be solved using algebra. If we call the length of the first rope A, we have:
   Rope 1 = A
   Rope 2 = 2 x A − 35
   Rope 3 = 0.5 x A + 15

The three ropes add to 99 feet:
   99 = Rope 1 + Rope 2 + Rope 3
   99 = A + (2 x A − 35) + (0.5 x A + 15)
   99 = 3.5 x A − 20
  119 = 3.5 x A
   34 = A

Giving:
   Rope 1 = 34 feet
   Rope 2 = 2 x 34 − 35 = 68 − 35 = 33 feet
   Rope 3 = 1 ÷ 2 x A + 15 = 1 ÷ 2 x 34 + 15 = 17 + 15 = 32 feet

Double-Checking
   Rope 1 + Rope 2 + Rope 3 = 34 + 33 + 32 = 99

Workings

Hint
Try working backwards.

Answer
335 strawberries.

Reasoning
Working backwards …

I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.

I ate 6 myself, so I had 108 before I ate those.

I had 108 strawberries, so I had 162 before giving Billie one third.

I ate 3 myself, so I had 165 before I ate those.

I had 165 strawberries, so I had 330 before giving Alex one half.

Ate 5 myself, so I had 335 before I ate those.

Therefore, I started with 335 strawberries.

Double-Checking
I started with 335.

I ate 5, leaving 330.

I gave Alex half (165), leaving 165.

I ate 3, leaving 162.

I gave Billie one third (54), leaving 108.

I ate 6, leaving 102.

I gave Charlie two thirds (68), leaving 34.

Workings

Hint
The first word begins with T.

Answer
Too many cooks spoil the broth.

Reasoning
The saying has been broken down into blocks of 4, the last block has been filled with dummy letters. Each block has then been reversed.

Double-Checking
Start with:
   TOO MANY COOKS SPOIL THE BROTH

Group together:
   TOOMANYCOOKSSPOILTHEBROTH

Split into groups of 4 letters:
   TOOM ANYC OOKS SPOI LTHE BROT H

Add 3 random characters:
   TOOM ANYC OOKS SPOI LTHE BROT HBCY

Reverse each group of 4 letters:
   MOOT CYNA SKOO IOPS EHTL TORB YCBH

Workings

Answers
Samantha Jennifer Jessica Elizabeth Hannah Michelle Julia Grace Angela Monica