Puzzle 253
At my local farmer's merchant, you can buy chicken feed for 15c per tonne, pig feed for $1.25 per tonne, and cattle feed for 40c per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
Last week I bought some animal feed, and luckily I managed to buy exactly 100 tonnes for exactly $100. How much of each feed did I buy?
Puzzle Copyright © Kevin Stone
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Hint
What are the maximum and minimum tonnes of pig feed I could have bought?
Answer
I bought 15 tonnes of chicken feed, 75 tonnes of pig feed, and 10 tonnes of cattle feed.
15 x 0.15 = 2.25
75 x 1.25 = 93.75
10 x 0.40 = 4.00
100 tonnes = $100.00
A possible solution method follows …
I couldn't have bought 80 tonnes of pig feed because this would have cost the full $100.00, but I wouldn't have then had 100 tonnes in total.
Similarly, 70 tonnes of pig feed would have been too few, as this would cost $87.50 and even the remaining 30 tonnes all being cattle feed wouldn't have reached the required $100.00.
So, let's try 71 tonnes of pig feed = $88.75:
plus 1 x chicken feed + 28 x cattle feed is over $100.00
or 2 x chicken feed + 27 x cattle feed is under $100.00
so 71 tonnes of pig feed doesn't work.
Let's try 72 tonnes … and so on.
We soon get to 75 tonnes of pig feed and find the answer.
Puzzle 254
Assign every letter of the alphabet its numerical value: A=1, B=2, C=3, and so on, up to Z=26.
Can you find any common 6-letter words that have a total over 115?
For example, WIZARD = 23 + 9 + 26 + 1 + 18 + 4 = 81.
Puzzle Copyright © Kevin Stone
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Hint
There are many answers, however, Z doesn't appear very often.
Answers
Choose from: luxury, struts, stylus, syrupy, trusts, twisty.
Other less common words include: scuzzy, syrups, syzygy, trouty, trusty, tryout, trysts.
Puzzle 255
Can you find three words which …
… contain EE twice?
Puzzle Copyright © Kevin Stone
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Hint
One possibility starts with the word BEE.
Answer
Choose from: beekeeper, beekeepers, beekeeping, freebee, freebees, freewheel, freewheeled, freewheeling, freewheels, peewee, peewees, squeegee, squeegeed, squeegeeing, squeegees, teepee, teepees.
Puzzle 256
What are the next five letters in this sequence:
HDSOAW
HDHAGF
ATKHAATKM
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Hint
From common children's song.
Answer
CPHTA.
From:
Humpty Dumpty sat on a wall.
Humpty Dumpty had a great fall.
All the king's horses and all the king's men
Couldn't put Humpty together again.
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