We can then solve the second equation for the (man + whistle) value:
(man + whistle) + 2(whistles) + 2(whistles) = 13įrom the first equation we can solve for the shoes value: Shoes + (man + whistle) + (man + whistle) = 20 The pictures can be translated into the following equations: Presumably the value of the whistle should be accounted for to get the correct answer. The last line involves a single whistle.įurthermore, the man in the second and third lines are wearing a whistle, but the man in the last line is not wearing a whistle. The third equation has a term with a pair of whistles. Simply pour over your three gallons into the 5-jug, which only had 1 gallon (3.8 L) in it previously. Transfer the 3 gallons (11.4 L) of water into the 5-jug to end up with 4 gallons (15.1 L). You now have 3 gallons (11.4 L) in the 3-jug and 1 in the 5-jug. You now have nothing in the 3-jug and 1 gallon in the 5-jugįill up the 3-jug. Pour out the 5-jug and refill it with your 1 gallon. This is because, in the last step, you only had 2 gallons (7.6 L) of space left over, so you could only pour 2 gallons. You now have 1 gallon (3.8 L) in the 3-jug and 5 gallons (18.9 L) in the 5-jug. You now have 3 gallons (11.4 L) in the 3-jug and 3 gallons in the 5-jug.įill the 5-jug with water from your 3-jug. You now have nothing in the 3-jug, and 3 gallons (11.4 L) in the 5-jug. You now have 3 gallons (11.4 L) of water. This leaves you with 3 gallons in the 3-jug, and 4 gallons in the 5-jug.įill the 3-jug completely with water. Fill up the last gallon of space in the 3-jug with the water from the 5-jug. Use the water from the 5-jug to fill up the 3-jug.
This means that there is 1 gallon (3.8 L) of space left in the 3-jug. You now have 2 gallons in the 3-jug and 5 in the 5-jug. And nothing in the 5-jug.įill up the 5-jug completely. Transfer the water from the 5-jug to the three jug. You're left with nothing in the 3-jug and 2 gallons in the 5-jug. You're left with 3 gallons in the 3-jug and 2 gallons in the 5-jug. You must fill all the gallons up to the top, otherwise you don't actually know how much you have. There will be, of course, 5 gallons in the 5-jug.
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