Question

One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?

Answer 1

32 candidates are between 25 and 50.

Explanation:

84 people applied for the job.
`(1)/(3)` of the candidates for a job were 25 years old or younger.

`(1)/(3)` of 84 candidates =
`(1)/(3)` × 84 = 28 candidates

`(2)/(7)` of the candidates were at least 50 years old.

`(2)/(7)` of 84 candidates =
`(2)/(7)` × 84 = 24 candidates

age 25 and below + age 50 above = 28 + 24 = 52 candidates

Candidates between 25 and 50 = 84 - 52 = 32 candidates

32 candidates are between 25 and 50.

Answer 2

1/3 * 84 = 28 were under 25

2/7 * 84 = 24 were at least 50

28 + 24 = 52

84-52 = 32 were between 25 and 50