---------------------------- - 2327 - How much for the pocket knife?
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---------------------------- - 2327 - How much for the pocket knife?
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- When I was 10 years old I was in the garage with my Dad and I was admiring his pocket knife. It had a bone handle and there blades. I still have it today. But, my Dad first told me that he could not “give” it to me. If he did that and I cut myself he would feel bad. But, he said if I bought the knife from him then I would feel responsible for myself . So, I went up to my bedroom and emptied my mason jar to get the money. If you solve the problem that follows you will learn how much I paid for the pocket knife:
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- Gene and Lukas sold their herd of cattle and received as many dollars
for each animal as there were cattle in the herd. With that money
they bought a flock of sheep at $10.00 a head and then a lamb with
the rest of the money.
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- Lambs cost less than $10.00. Finally , they
divided the animals between them, with Lukas obtaining an extra
sheep and Gene got the lamb.
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- Lukas felt sorry for his friend Gene who got
stuck with the lamb and gave Gene his pocket knife as even
compensation. What was the pocket knife worth?
- Solve the problem to learn ,or, send request to learn how much I paid for the pocket knife.
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---------------- here is the solution:
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- n = the number of cattle
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- n = the price of each cow
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- n squared = the total value or price of the herd of cattle
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- The number of 10's in “n square” is the number of sheep and “n square/10”
must be an odd number because there is one sheep left over.
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- Here is where it gets tricky:
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- Start squaring numbers, since “n“ is the number of cows and ‘n squared “ is the total price for the cows:
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- “n^2” = 4 16 25 36 49 64 81 100 121 144
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- 196 256 576 676 1156 1296
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- When you divide by ten dollars to get the number of cows and the number of sheep must be an odd number because there was a remainder to pay for the lamb that is left over, so this leaves :
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- 16 36 196 256 676 1156 1296 They all end in
six with this particular series.
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- Pick any one. Say Gene and Lukas had $256 worth of cows. That was 16
cows, because 16^2 = 256. So with that money they bought 25 sheep at
$10 each with one lamb left over when they split these up.
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- Lukas has 13 sheep worth $130. Gene has 12 sheep worth $120 plus a $6 lamb.
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- Lukas owes Gene another $4
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- So the lamb is worth $6. It is a $4 addition that we need to try to even things
out. Lukas gives his dad a $2 pocketknife. He is less $2 and his dad
is plus $2. The $4 difference is the split we needed to even things out.
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- I still have my $2 pocket knife that I paid for with my own money. And, I still
carry the lesson learned that I need to take responsibility for my own actions.
-
- April 6, 2019.
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--------------------- Saturday, April 6, 2019 -------------------------
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