Question 1023261: I need help with this problem:
The ratio of boys to girls in a class is 3 to 2. There are 25 students in the class. What is the probability of selecting a boy?
I need the following things in my problem:
Number: need as a fraction
Percent:
Likelihood:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if the ratio of boys to girls is 3 to 2, then the ratio of boys to total is 3/5.
the probability of selecting a boy is 3/5 = .6 = 60%.
another way of calculating it is:
there are 25 students.
the ratio of boys to girls is 3 to 2.
if you let b represent the number of boys and you let g represent the number of girls, then you get:
b/g = 3/2.
solve for b to get b = 3g/2.
now the number of boys and the number of girls is equal to 25.
this means that b + g = 25.
since b = 3g/2, then replace b with that to get 3g/2 + g = 25.
multiply both sides of this equation by 2 to get 3g + 2g = 50.
combine like terms to get 5g = 50.
solve for g to get g = 10.
since b = 3g/2, then b = 3*10/2 = 3*5 = 15.
15 boys out of 25 students means that the percent of boys is 15/25 * 100 which is equal to 60%.
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