Hybrid Equations and Logarithms

Question

20 hand drums will sound what percent louder to the audience as will 7 hand drums? Assume all hand drums produce equal sound intensity, and round your answer to the nearest 1%.

Answer 1

20 hand drums are 13 hand drums louder than 7 hand drums.

 

However, we must answer as what percent louder, in terms of what level of sound we started with.

 

We started with 7 hand drums, which is like saying that 7 hand drums is 100%

 

If 7 hand drums are 100%, then what percent are 13 hand drums?

 

13/7=1.857142

 

As a percent, this decimal is 186%