Reid is taking piano and trumpet lessons. He likes the piano more, and last month practiced the piano 5 hours for every 3 hours he practiced the trumpet.

Question

If Reid spent 4 more hours practicing the piano than the trumpet last month, how many hours did he spend practicing the piano?
___ hours

Answer 1

Let x be the number of hours Reid practiced the trumpet.

Since he practiced the piano 5 hours for every 3 hours he practiced the trumpet, he practiced the piano for 5/3 * x hours.

Given that he spent 4 more hours practicing the piano than the trumpet, the equation becomes:
5/3 * x = x + 4

Multiplying both sides by 3 to get rid of the fraction:
5x = 3x + 12
2x = 12
x = 6

So, Reid practiced the piano for 5/3 * 6 = 10 hours.