SOLUTION: in a sixth grade class, the ratio of boys to girls is 3:2. How many boys and how many girls could there be in this class? Is there more than one possible answer?

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Question 834998: in a sixth grade class, the ratio of boys to girls is 3:2. How many boys and how many girls could there be in this class? Is there more than one possible answer?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
There is indeed more than one possible answer. The ratio means that for every 3 boys in the class, there are 2 girls.
Let b be the number of boys in the class, g the number of girls.
The ratio tells us that b%3Ag=3%3A2, than g=%282%2F3%29b.
Now, observe that both b and g must benon-negative or or +0+).
So, what number b could be any positive integer in order for g to make sense? It will be any number that is divisible by three because it doesn't make sense if you get a decimal number as a result for g.