A farmer buys chicken feed for 47c per tonne, pig feed for $1.23 per tonne and cattle feed for $1.44 per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
How much of each would they have if they bought 100 tonnes for $100?
In my collection of classical music, I have a range of pieces that last 6, 7, 8 and 9 minutes.
The piece by Bach lasts 8 minutes, and the CD lasts longer than the piece by Holst. The piece on DAT tape is longer than the piece by Beethoven. The single lasts 7 minutes, and the album does not contain any Holst. The piece by Butler is on the DAT tape.
Can you determine which piece of music is in which format, and how long each lasts?
Answer Composer Format Length
Beethoven album 6
Holst single 7
Bach CD 8
Butler DAT 9
Reasoning
By (1), the piece by Bach lasts 8 minutes. By (3), the single lasts 7 minutes. Composer Format Length
6
single 7
Bach 8
9
By (4), the piece by Butler is on the DAT tape. But, by (2), this can't be the shortest, so it must be 9 minutes long. Composer Format Length
6
single 7
Bach 8
Butler DAT 9
By (1), the CD can't be the shortest, so must be 8 minutes long. Composer Format Length
6
single 7
Bach CD 8
Butler DAT 9
The album must therefore be 6 minutes long, and by (3) doesn't contain any Holst. Composer Format Length
album 6
Holst single 7
Bach CD 8
Butler DAT 9
Which means that the album was the piece by Beethoven. Composer Format Length
Beethoven album 6
Holst single 7
Bach CD 8
Butler DAT 9
