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3 years ago

6

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

olos. 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?

2 answers:

lyudmila [28]3 years ago

8 0

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.

motikmotik3 years ago

5 0

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

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