Puzzle 5
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 6
What number comes next in this sequence:
31 30 31 31 {?}
Clue: the answer is NOT 30!
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Hint
Does it start with January?
Answer
28.
The number of days in each month starting from October. The answer could also be 29 for a leap year.
The answer can't be 30, as the question specifically says that the answer is not 30, so it can't be the sequence starting with May.
Puzzle 7
Place a horizontal or a vertical line into every blank square.
Each number tells you the total length of the lines connected to that square.
Puzzle Copyright © Johan de Ruiter
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Hint
Start by looking at the 6 and 4 on the top row.
Answer
Puzzle 8
My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from Scotland to particular countries, and here is the result:
England 12,000 miles
Peru 6,000 miles
Egypt 9,000 miles
Iceland 11,000 miles
How far away did it list Ethiopia?
Puzzle Copyright © Kevin Stone
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Hint
How many miles are vowels (AEIOU) worth?
Answer
11,000 miles.
Each vowel (AEIOU) is worth 1,000 miles, each consonant is worth 2,000 miles.
Double-Checking
Ethiopia has 5 vowels (EIOIA = 5 x 1,000), and 3 consonants (THP = 3 x 2,000), for a total of 5,000 + 6,000 = 11,000 miles.
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