Part A:
In a music room, the ratio of the number of clarinets to the number of flutes was 3 : 4. After the school bought another 24 flutes, the ratio became 3 : 8. How many clarinets were there in the music room?
Part B:
In a music room, the ratio of trombones to trumpets is 5 : 4. The ratio of trumpets to tubas is 6 : 1. There are 29 of these brass instruments in all. How many trumpets are there?
Here are a couple of the solutions I received:
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