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It Could Be Verse Puzzle - Solution
The Puzzle:
Horace bought some cakes today
As explained in this song.
Now, as he took his change away
He thought that it was wrong.
Some of the cakes were 30 cents,
And 40 cents the rest.
$1.50 change just made no sense,
It caused him great unrest.
Ten dollars he gave to pay for them:
Those 30 and 40c cakes.
But he wants us to say for him
How many of each did he take ?
How many ways can this be done ?
What is the greatest number of cakes Horace could have bought ?
Our Solution:
40c Cakes .. 30c Cakes .. Total ..
19 ($7.60) 3 ($0.90) 22 ($8.50)
16 ($6.40) 7 ($2.10) 23 ($8.50)
13 ($5.20) 11 ($3.30) 24 ($8.50)
10 ($4.00) 15 ($4.50) 25 ($8.50)
7 ($2.80) 19 ($5.70) 26 ($8.50)
4 ($1.60) 23 ($6.90) 27 ($8.50)
1 ($0.40) 27 ($8.10) 28 ($8.50)
So there are 7 ways it could have been done.
And the maximum number of cakes is 28.
| 40c Cakes .. | 30c Cakes .. | Total .. |
| 19 ($7.60) | 3 ($0.90) | 22 ($8.50) |
| 16 ($6.40) | 7 ($2.10) | 23 ($8.50) |
| 13 ($5.20) | 11 ($3.30) | 24 ($8.50) |
| 10 ($4.00) | 15 ($4.50) | 25 ($8.50) |
| 7 ($2.80) | 19 ($5.70) | 26 ($8.50) |
| 4 ($1.60) | 23 ($6.90) | 27 ($8.50) |
| 1 ($0.40) | 27 ($8.10) | 28 ($8.50) |
So there are 7 ways it could have been done.
And the maximum number of cakes is 28.
Puzzle Author: Stephen Froggatt