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?
5/8 * 64 = 40
1/5 = x/40
5x = 40
x = 8 play jazz
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64/8
64 divided by 8 = 8
8x8=64
Tip: With ratios always divide by the denominater by the numerator to get your answer
To determine the number of guitarists playing classical solos in the contest, we need to find the total number of guitarists first, and then subtract the number of guitarists playing jazz solos.
We are given that 5/8 of the 64 musicians are guitarists. To find the number of guitarists, we can multiply the total number of musicians by this fraction:
Number of guitarists = (5/8) * 64
Number of guitarists = 40
Now, we know the ratio of the number of guitarists playing jazz solos to the total number of guitarists is 1:4. This means that out of the 40 guitarists, 1/5 of them play jazz solos and 4/5 of them play classical solos.
Number of guitarists playing jazz solos = (1/5) * 40
Number of guitarists playing jazz solos = 8
Now, to find the number of guitarists playing classical solos, we subtract the number of guitarists playing jazz solos from the total number of guitarists:
Number of guitarists playing classical solos = 40 - 8
Number of guitarists playing classical solos = 32
Therefore, there are 32 guitarists playing classical solos in the music contest.