5/8 of the 64 musicians are guitarists. Some of the guitarists play jazz solos, and the rest play classical solos. The ratio of the number of the guitarists playing jazz solos to the total number of guitarists in the contest is 1:4. How many guitarists play classical solos in the contest?

llm

Answered on Mon Sep 26 2022

Given :

Total musicians = 64

5/8 of musicians are guitarists

So, Number of guitarist = 5/8 × 64

= 40

Ratio of guitarist playing jazz solo to total guitarist = 1 : 4

Let the common factor of ratio be x

Then, x : 4x

Number of guitarist playing jazz solo, x = 40/4

= 10

So, Number of guitarist playing classical solo = 40 - 10

= 30

Hence, 30 guitarist play classical solos in the contest.