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