Question

The ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2. If there are a total of 240 students in band, how many are in each grade level?

Answer 1

Answer : Each grade level will be 30,60,90,30 respectively.

Explanation:

Since we have given that ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2

Let the number of fresh man be x

Let the number of sophomores be 2x

Let the number of juniors be 3x

Let the number of seniors be 2x

According to question,

x+2x+3x+2x=240

⇒8x=240

⇒x=$\frac{240}{8}$

⇒x=30

So, the required number of freshman is 30

Number of sophomores is 2×30=60

Number of juniors is 3×30=90

Number of seniors is 2×30=60