Are you looking for the solutions for our Challenge Problems from our math table? Here they are below!
Four gallons in a Five-Gallon Jug
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 weight correctly, a bomb was to go off in the city! Can you find a way to get 4 gallons in the 5-gallon jug?
Download the solution for "Four gallons in a Five-Gallon Jug":
4 gallons in a 5 gallon jug solution.pdf
Crossing the River
On one side of a riverbank, there are two 200 lb. adults and two 100 lb. children. They have a rowboat, which anyone can row, but the boat can only hold a maximum of 200 lbs. How will they manage to get everyone across the river using only the rowboat? They can't swim! Can you come up with a solution? (Drawing a diagram can really help here!)
Download the solution for "Crossing the River":
Crossing the river solution.pdf
Dice Probability of a Prime Number
If you roll two dice, what is the probability that the sum of the digits will be a prime number?
Download the solution for "Dice Probability of a Prime Number":
Dice Probability of a Prime Number Solution.pdf