What are 2 ways to obtain 1 jug with exactly 4 units of water?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 9P
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What are 2 ways to obtain 1 jug with exactly 4 units of water?
There are layers of cake currently on a support post in the "Ace of Cakes" shop. You have been hire
support post that you could temporarily move a cake layer to if needed. There are rules for moving
to move them to another support post for transportation to a wedding. The boss sets up one additiona
ACE OF CAKES!
the layers:
* No larger layer can ever sit on top of a smaller laver as it would smash the smaller one.
• Moving a layer from any post to another will count as 1 move.
• For safety, you can only move one layer at a time.
Starting position
Ending position
1 2
3
2 3
Additional Support Post (if needed)
11. With these rules, determine the smallest number of moves in order to move all the cake layers to
the final support post; start with 3 cake layers and work your way up to 8. Solve with an efficient
method – show your work and explain why you picked the method.
Transcribed Image Text:There are layers of cake currently on a support post in the "Ace of Cakes" shop. You have been hire support post that you could temporarily move a cake layer to if needed. There are rules for moving to move them to another support post for transportation to a wedding. The boss sets up one additiona ACE OF CAKES! the layers: * No larger layer can ever sit on top of a smaller laver as it would smash the smaller one. • Moving a layer from any post to another will count as 1 move. • For safety, you can only move one layer at a time. Starting position Ending position 1 2 3 2 3 Additional Support Post (if needed) 11. With these rules, determine the smallest number of moves in order to move all the cake layers to the final support post; start with 3 cake layers and work your way up to 8. Solve with an efficient method – show your work and explain why you picked the method.
WATER JUGS!
You are given two unmarked jugs (large cups)
hold 5 units. Here are the rules for this problem:
one will hold 3 units of water, and the other will
You have a virtually unlimited supply of water and may fill the jugs up as often as you like.
You may pour one into the other until it is full, but may not partially empty one jug unless the
other is full.
Examples:
a) If the 5-unit jug has 4 units inside, you could fill the 3-unit jug and pour it into the 5-unit jug
which would leave exactly 2 units in the 3-unit jug.
b) If the 5-unit jug is empty and the 3-unit jug is full, you cannot pour 1 unit into the 5-unit jug
leaving exactly 2 in the 3-unit jug, because the jugs are not marked so you wouldn't know it
was exactly 1 unit.
12. Find two different ways to obtain one jug with exactly 4 units of water. Solve with an efficient
method - show your work and explain why you picked the method.
13. Find two different ways to obtain one jug with exactly 4 units of water, but this time start with.
7-unit jug and a 10-unit jug. Solve with an efficient method - show your work and explain wh
you picked the method.
Transcribed Image Text:WATER JUGS! You are given two unmarked jugs (large cups) hold 5 units. Here are the rules for this problem: one will hold 3 units of water, and the other will You have a virtually unlimited supply of water and may fill the jugs up as often as you like. You may pour one into the other until it is full, but may not partially empty one jug unless the other is full. Examples: a) If the 5-unit jug has 4 units inside, you could fill the 3-unit jug and pour it into the 5-unit jug which would leave exactly 2 units in the 3-unit jug. b) If the 5-unit jug is empty and the 3-unit jug is full, you cannot pour 1 unit into the 5-unit jug leaving exactly 2 in the 3-unit jug, because the jugs are not marked so you wouldn't know it was exactly 1 unit. 12. Find two different ways to obtain one jug with exactly 4 units of water. Solve with an efficient method - show your work and explain why you picked the method. 13. Find two different ways to obtain one jug with exactly 4 units of water, but this time start with. 7-unit jug and a 10-unit jug. Solve with an efficient method - show your work and explain wh you picked the method.
Expert Solution
Step 1

Given:

There are three jugs.

5 unit jug, 3 unit jug, and an emply jug.

To determine: 2 ways to obtain 1 jug with exactly 4 units of water.

 

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