MATH SOLVE

2 months ago

Q:
# The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?

Accepted Solution

A:

Answer:36 boysStep-by-step explanation: 3Please write the ratio as 3:5 or as -------- 5Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8. How many are in the club altogether? Let this count be represented by c. Then (5/8)c = 60.Multiplying both sides of this equation by (8/5), to isolate c, we get: c = (8/5)(60) = 96. Thus, there are 96 Science students altogether.3/8 of this number are boys. This comes out to (3/8)(96) = 36 boys.We could also solve this problem in the following manner: 3 b------ = ------- , where b represents the number of boys. 5 60Then 5b = 180. Dividing both sides by 5, we get b = 180/5 = 36 boys