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Hint: Adrian had been teaching 6 years longer than Betty.
Answer:
Adrian had been teaching 21 years.
Betty had been teaching 15 years.
Charles had been teaching 7 years.
Adrian and Betty had been teaching for a total of 36 years.
Charles and Betty had been teaching for a total of 22 years.
Charles and Adrian had been teaching for a total of 28 years.
Let Adrian = A, Betty = B and Charles = C, then:
A + B = 36 [1] C + B = 22 [2] C + A = 28 [3]
If we use [3]  [2] we have:
A  B = 6 [4]
If we use [1] + [4] we have:
2A = 42 A = 21
By [1] B = 15. By [3] C = 7.
Puzzle 2
Frankie the Squirrel can find one nut in 15 minutes and Glen the Squirrel can find one nut in 12 minutes.
However, their friend Alex is eating their collection, and it takes Alex 20 minutes to eat each nut (and Alex eats all day long, and starts on yesterday's nuts).
How many extra nuts will they have at the end of a 24hour day if they work together?
The head weighs 24 pounds, the body weighs 32 pounds and the tail weighs 8 pounds.
The trout is made up of the head, body and tail, H, B and T.
We are told that:
T = 8
H = T + B ÷ 2 (1)
B = H + T (2)
Placing T into (1) and (2) we get:
H = 8 + B ÷ 2 (3)
B = H + 8 (4)
Using (4) in (3) we get:
H = 8 + B ÷ 2
H = 8 + (H + 8) ÷ 2 (5)
Multiplying (5) by 2 we get:
2H = 16 + H + 8
2H = 24 + H
H = 24
Therefore, by (2):
B = H + T
B = 24 + 8
B = 32
Giving:
H = 24 B = 32 T = 8
And a total of 24 + 32 + 8 = 64 pounds.
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