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Sam the barbarian had 11 axes. He wanted to share his axes with his 3 sons. The eldest son, Ron, can take half of the axes, while his younger son, John, can take one third of the axes. His youngest son, however, is only entitled to 1/12 of all the axes. How many axes will each of them receive? (No fractions)

 Nov 28, 2014

Best Answer 

 #1
avatar+33616 
+5

Sam wasn't very good at maths, 1/2 + 1/3 + 1/12 is only 11/12, not 1.

 

However, add a dummy ax, so there are 12 axes and apply Sam's fractions to them.  Ron gets 12/2 = 6 axes; John gets 12/3 = 4 axes; the youngest gets 12/12 = 1 axe.

 

6 + 4 + 1 = 11, so this uses all Sam's axes and you can keep your own dummy axe!

.

 Nov 28, 2014
 #1
avatar+33616 
+5
Best Answer

Sam wasn't very good at maths, 1/2 + 1/3 + 1/12 is only 11/12, not 1.

 

However, add a dummy ax, so there are 12 axes and apply Sam's fractions to them.  Ron gets 12/2 = 6 axes; John gets 12/3 = 4 axes; the youngest gets 12/12 = 1 axe.

 

6 + 4 + 1 = 11, so this uses all Sam's axes and you can keep your own dummy axe!

.

Alan Nov 28, 2014
 #2
avatar+94 
+3

first add an extra axe

here are 12 axes and apply Sam's fractions to them.  Ron gets 12/2 = 6 axes; John gets 12/3 = 4 axes; the youngest gets 12/12 = 1 ax.

 

6 + 4 + 1 = 11, so this uses all Sam's axes and you can keep your own extra axe!

 Nov 28, 2014

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