3) WATER JUGS! You are given two unmarked jugs (large cups) - one will hold 3 liters of water, and the other will hold 5 liters. Here are the rules for this problem: 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-liter jug has 4 liters inside, you could fill the 3-liter jug and pour it into the 5-liter jug which would leave exactly 2 liters in the 3-liter jug. b) If the 5-liter jug is empty and the 3-liter jug is full, you cannot pour 1 liter into the 5-liter jug leaving exactly 2 in the 3-liter jug, because the jugs are not marked so you wouldn't know it was exactly 1 liter. Find two different ways to obtain one jug with exactly 4 liters of water. Solve with an efficient method - show your work and explain why you picked the method.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Question
3) WATER JUGS!
You are given two unmarked jugs (large cups) - one will hold 3 liters of water, and the other will
hold 5 liters. Here are the rules for this problem:
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-liter jug has 4 liters inside, you could fill the 3-liter jug and pour it into the 5-liter jug
which would leave exactly 2 liters in the 3-liter jug.
b) If the 5-liter jug is empty and the 3-liter jug is full, you cannot pour 1 liter into the 5-liter jug
leaving exactly 2 in the 3-liter jug, because the jugs are not marked so you wouldn't know it was
exactly 1 liter.
Find two different ways to obtain one jug with exactly 4 liters of water. Solve with an efficient
method - show your work and explain why you picked the method.
F2
#
3
B
E
D
AUG
25
80
F3
$
4
R
F
a
F4
250
%
A
9
F5
T
G
^
6
F6
Y
H
&
7
S
F7
U
* 00
8
J
F8
1
9
F9
K
(
O
O
F10
P
RAS
F11
Transcribed Image Text:3) WATER JUGS! You are given two unmarked jugs (large cups) - one will hold 3 liters of water, and the other will hold 5 liters. Here are the rules for this problem: 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-liter jug has 4 liters inside, you could fill the 3-liter jug and pour it into the 5-liter jug which would leave exactly 2 liters in the 3-liter jug. b) If the 5-liter jug is empty and the 3-liter jug is full, you cannot pour 1 liter into the 5-liter jug leaving exactly 2 in the 3-liter jug, because the jugs are not marked so you wouldn't know it was exactly 1 liter. Find two different ways to obtain one jug with exactly 4 liters of water. Solve with an efficient method - show your work and explain why you picked the method. F2 # 3 B E D AUG 25 80 F3 $ 4 R F a F4 250 % A 9 F5 T G ^ 6 F6 Y H & 7 S F7 U * 00 8 J F8 1 9 F9 K ( O O F10 P RAS F11
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