Respuesta :
Answer:
37.5 boys
Step-by-step explanation:
Assuming students are either boys or girls, 5 of every 8 are boys.
(5/8)×60 = 300/8 = 37.5
There are 37.5 boys in the group of 60 students.
_____
For the ratio to be exact, there must be a multiple of 8 students. 60 is not a multiple of 8, so the ratio 5:3 is not exact. Since we don't know what the ratio actually is, the best we can do is round this number up or down. The ratio 37:23 is closer to 5:3 than is the ratio 38:22, suggesting the number of boys is 37.
5/3 - 37/23 = (115 -111)/69 = 4/69
38/22 -5/3 = (114 -110)/66 = 4/66 > 4/69
Set up a proportion:
In a sample of 5:3, you have 8 kids in all.
So the the ratio of boys to kids in a sample of 8 is 5:8.
So set up a proportion:
[tex]\frac{5}{8}[/tex] = [tex]\frac{X}{60}[/tex]
8x = 300
X = 37.5
Therefore, 37.5 students were boys.