Answer :

Sure, let's break down and answer each part of the question step-by-step.

### (a) 55% of 60 is what?
To find 55% of 60, you multiply 60 by 55% (which can be expressed as 0.55 in decimal form).

[tex]\[ 55\% \times 60 = 0.55 \times 60 = 33.0 \][/tex]

So, 55% of 60 is 33.0.

### (b) 15% of what number is 12?
To find out what number 15% corresponds to when the result is 12, you set up the equation:

[tex]\[ 0.15 \times \text{number} = 12 \][/tex]

To solve for the number, you divide both sides of the equation by 0.15:

[tex]\[ \text{number} = \frac{12}{0.15} = 80.0 \][/tex]

So, 15% of 80.0 is 12.

Therefore, the answers are:
- (a) 55% of 60 is 33.0
- (b) 15% of what number is 80.0