Question

5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical solos. The ratio of the number of 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?

Answer 1

There are 64 musicians and 5/8 of them are guitarists:

5/8 * 64 = 40 ( the total numbet of guitarists )

x - the guitarists playing jazz slolo

x : 40 = 1 : 4

4 x = 40

x = 40 : 4

x = 10

Therefore there are 10 guitarists playing jazz solo.

40 - 10 = 30

Answer:

There are 30 guitarists who play classical solo.

Answer 2

The first thing we must do for this case is find the number of total guitarists.

We have then:

$(\frac{5}{8}) * (64) = 40$

We now look for the relationship between the number of guitarists playing jazz alone to the total number of guitarists.

We have then:

$\frac{x}{40} = \frac{1}{4}$

Where,

x: number of guitarists playing jazz alone

From here, we clear the value of x.

$x = (\frac{1}{4}) * (40)\\x = 10$

Then, the number of guitarists who play classical solo is:

$40 - 10 = 30$

Answer:

30 guitarists play classical solos in the contest