Montgomery College has a 47-piece band and a 43-piece orchestra. If 18 people are members of both the band and the orchestra, can the band and orchestra travel in two 37-passenger buses?

Question

Montgomery College has a 47-piece band and a 43-piece orchestra. If 18 people are members of both the band and the orchestra, can the band and orchestra travel in two 37-passenger buses? ​

Quizplus · Accepted Answer

There are a total of 72 people in the band and orchestra combined (47 + 43 - 18). Two 37-passenger buses can hold a total of 74 passengers (37 x 2). Therefore, the band and orchestra can easily travel in two 37-passenger buses.

Montgomery College Has a 47-Piece Band and a 43-Piece Orchestra