Clayton wants to be a musician. After school one afternoon, he spends 1 over 2 of his time practising the drums and 3 over 4 of the remaining time working on homework and eating dinner. He spends the remaining 3 over 4 h texting and talking to his friends. How long did he practise the drums?

Answer 1

Let's assume Clayton has t hours after school.

He spends 1/2 * t hours practicing the drums.

The remaining time is t - 1/2 * t = 1/2 * t.

He spends 3/4 * (1/2 * t) hours working on homework and eating dinner.

So, he spends 3/4 * (1/2 * t) = 3/8 * t hours working on homework and eating dinner.

The remaining time is 1/2 * t - 3/8 * t = 4/8 * t - 3/8 * t = 1/8 * t.

Therefore, Clayton spends 1/8 * t = 3/4 hours texting and talking to his friends.

As 1/8 * t is equal to 3/4 hours, we can set up the equation 1/8 * t = 3/4.

Multiplying both sides of the equation by 8 gives us t = 6.

Therefore, Clayton has 6 hours after school.

So, he spends 1/2 * 6 = 3 hours practicing the drums. Answer: \boxed{3}.