Q:

For every 5 boys there are 3 girls. If there are 60 students, how many boys are there??SHOW ALL WORK

Accepted Solution

A:
Answer: Β  37.5 boysStep-by-step explanation:Assuming students are either boys or girls, 5 of every 8 are boys. Β  (5/8)Γ—60 = 300/8 = 37.5There 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. Β  5/3 - 37/23 = (115 -111)/69 = 4/69 Β  38/22 -5/3 = (114 -110)/66 = 4/66 > 4/69