University:
Santa Ana College
Course:
MATH 083 | Beginning and Intermediate Algebra for Liberal Arts and Social Science
Academic year:

2019
Views:

324

Pages:

3
Author:

Colin Russell

Consider the following scenario (from the movie Die Hard With a Vengeance). Suppose you have a jug that can hold 3 gallons of water, a jug that can hold 5 gallons of water, and a pool of water for which to fill the jugs. The challenge is to figure out how to put exactly 4 gallons of water in the 5-gallon jug! You can’t approximate or guess, you need exactly 4 gallons in the jug. In the movie, if the jug with 4 gallons of water didn’t weigh correctly, a bomb was to go off in the city! Can you find a way to get 4 gallons in the 5-gallon jug? Solution: As with any problem, there are multiple ways to get 4 gallons into the 5 gallon jug. Let's take a look at one option and lay out the steps. Note, this may not be the fastest way. Here's what we have to work with, a 3-gallon jug, a 5-gallon jug, and a pool of water to fill the jugs. Step 1: Fill the 5-gallon jug with water. Step 2: Using the full 5-gallon jug, fill the 3-gallon jug. Thus leaving a full 3gallon jug and 2 gallons left in the 5-gallon jug. Step 3: Pour out the 3 gallons of water from the 3-gallon jug, leaving it empty. Step 4: Pour the 2 gallons in the 5-gallon jug into the empty 3-gallon jug. Leaving 1 gallon of empty space in the 3-gallon jug. Step 5: Fill the 5-gallon jug with water. Step 6: Using the full 5-gallon jug, pour 1 gallon into the 3-gallon jug, filling that empty space with water and thus making it full. Now, since you just took the 5 gallon jug and pulled out 1 gallon, you are left with exactly 4 gallons in the 5 gallon jug! You did it! New Section 12 Page 3

Math 20 Gallon of Water Solution

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