Alex is a keen dog admirer and over the years has had a number of dogs.
Alex has had an Alsatian, a Dalmatian, a Poodle, and a Great Dane, but not necessarily in that order.
Alex had Jamie first.The Dalmatian was an adored pet before the Great Dane.Sammy, the Alsatian, was the second dog Alex loved.Whitney was owned before the Poodle.Jimmy was not a Great Dane.
Can you match the dogs to their names and find the order in which Alex had them?
Answer # Name Breed
1 Jamie Dalmatian
2 Sammy Alsatian
3 Whitney Great Dane
4 Jimmy Poodle
Reasoning
(Clue 1) Jamie was first, and (Clue 3) Sammy the Alsatian was second: # Name Breed
1 Jamie
2 Sammy Alsatian
3
4
(Clue 4) Whitney was owned before the poodle, leaving Jimmy last: # Name Breed
1 Jamie
2 Sammy Alsatian
3 Whitney
4 Jimmy Poodle
(Clue 2) the Dalmatian was before the Great Dane: # Name Breed
1 Jamie Dalmatian
2 Sammy Alsatian
3 Whitney Great Dane
4 Jimmy Poodle
??
Puzzle 154
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?
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 155
How many common five letter words can you make from the following letters, using all the letters in each word?
AELST
Reasoning There are 60 squares of size 1x1. There are 35 squares of size 2x2. There are 12 squares of size 3x3. There are 3 squares of size 4x4.
Giving a total of 60 + 35 + 12 + 3 = 110 squares.
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