Three fifths of a number is 30 more than 50 percent of that number. What is the 80% of that number?

Sure, let's solve this step by step:

1. Let's denote the unknown number as x. According to the problem, three fifths of this number is 30 more than 50 percent of the number. We can write this as an equation: 3/5x = 0.5x + 30.

2. To solve for x, we first need to get rid of the fractions. We can do this by multiplying every term by 5: 3x = 2.5x + 150.

3. Next, we subtract 2.5x from both sides of the equation to isolate x: 0.5x = 150.

4. Finally, we divide both sides by 0.5 to solve for x: x = 150 / 0.5 = 300.

5. Now that we know x = 300, we can find 80% of this number by multiplying: 0.8 * 300 = 240.

So, 80% of the number is 240.