Question

Malcolm Little High School has sopho- mores, juniors, and seniors, but no freshmen. The ratio of sophomores to juniors is 5 to 4, and the ratio of juniors to seniors is 3 to 2. If there are 300 sophomores, how many seniors are there?

Answer 1

161 seniors

Explanation:

According to the problem, given data are as follows:

Total number of sophomores = 300

Sophomores to junior ratio = 5:4

So, Number of Juniors = 300 × (4 ÷ 5)

= 240

Now, Juniors to senior ratio = 3:2

So, we can calculate the number of seniors by using following method:

Number of seniors = 240 × ( 2 ÷ 3)

= 240 × 0.67

= 160.8 or 161