Question

The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?

A.2/5 of the total tuba and trumpet players are tuba players.
B.The number of trumpet players is 2.5 times the number of tuba players.
C.There are 2 trumpet players for every 5 tuba players.
D.If there are a total of 100 trumpet and tuba players, 52 of them are tuba players.

Answer 1

The given ratio is 5 trumpet players : 2 tuba players.

A. Since the ratio is 5:2, at the smallest ratio there would be 7 players total (5+2). So tuba players would be 2/7, not 2/5.

B. If there are 7 total players, and the ratio is 5 trumpets : 2 tubas, then trumpets are in fact 2.5 times the number of tuba players (2 tubas *2.5 = 5 trumpets).

C. The ratio is 5 trumpet players : 2 tuba players, not 2 trumpet players for every 5 tuba players.

D. The ratio of tubas to total number of tubas and trumpets is
`(2tuba)/(7total)= (t)/(100total) \\ t=28.57 tubas`