Answer:
[tex]\large \begin{array}{| c | c | c | c | c | c | c | c | c | c |}\cline{1-10} \sf Big & 17 & 10 & 10 & 3 & 3 & 0 & 17 & 13 & 13\\\cline{1-10} \sf Small & 0 & 7 & 0 & 7 & 0 & 3 & 3 & 7 & 0\\\cline{1-10}\end{array}[/tex]
Step-by-step explanation:
Given:
- Big bucket = 17 gallons
- Small bucket = 7 gallons
Step 1
Fill the Big bucket from the stream:
Big bucket = 17
Small bucket = 0
Step 2
Fill the Small bucket from the big bucket:
Big bucket = 17 - 7 = 10
Small bucket = 7
Step 3
Empty the contents of the small bucket into the stream:
Big bucket = 10
Small bucket = 0
Step 4
Fill the small bucket from the big bucket:
Big bucket = 10 - 7 = 3
Small bucket = 7
Step 5
Empty the contents of the small bucket into the stream:
Big bucket = 3
Small bucket = 0
Step 6
Empty the contents of the big bucket into the small bucket:
Big bucket = 0
Small bucket = 3
Step 7
Fill the large bucket from the stream:
Big bucket = 17
Small bucket = 3
Step 8
Fill the small bucket from the big bucket:
Big bucket = 17 - 4 = 13
Small bucket = 3 + 4 = 7
Step 9
Empty the contents of the small bucket into the stream:
Big bucket = 13
Small bucket = 0
