Question

In the high school band, there are 2 percussionists on the sideline to every 13 marching instruments. If the high school band has 150 total members, then how many percussionists are on the sideline?

Answer 1

For every 13 marching instruments, there are 2 percussionists, that means that in total theere are 15 of this patterns, 2 being percussionists and 13 being other instruments.

This pattern of 15 repeats to make all the 150 members, thus there are a total of:

`(150)/(15)=10`

Total of 10 repetitions. Each of these has 2 percussionists, so, in total there are:

`2\cdot10=20`

20 percussionists in the sideline.