<PRE><B>Question 1023261</B>
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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