Carcass wrote:
In a group of 9 children, there are twice as many girls as boys, and twice as many right-handed people as there are left-handed people. If a third of the boys are left-handed, how many girls are right-handed?
A. 1
B. 3
C. 4
D. 5
E. 6
In a group of 9 children, there are twice as many girls as boysLet x = the number of boys
So, 2x = the number of girls
We can write: x + 2x = 9
Solve to get x = 3, which means there are 3 boys and 6 girls
In a group of 9 children, there are twice as many right-handed people as there are left-handed people. Using the same approach we can see that there are 3 left-handed people, and
6 right-handed people.
If a third of the boys are left-handed, how many girls are right-handed?There are 3 boys.
1/3 of 3 = 1.
So there 1 left-handed boy, which means the other
2 boys are right-handedThere are
6 right-handed people all together.
If
2 of them are boys, then the other
4 must be girlsAnswer: C