SOLUTION: A group containing boys and girls took a test. If exactly 2/3 of the boys and exactly 3/4 of the girls passed the test, and if an equal number of boys and girls passed the test, th

Question 286029: A group containing boys and girls took a test. If exactly 2/3 of the boys and exactly 3/4 of the girls passed the test, and if an equal number of boys and girls passed the test, then what fraction of the entire group passed the test?
a 11/16 b 12/17 c 13/18 d 14/19 e 17/23
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A group containing boys and girls took a test.
If exactly 2/3 of the boys and exactly 3/4 of the girls passed the test,
and if an equal number of boys and girls passed the test,
then what fraction of the entire group passed the test?
:
b = total no. of boys
g = total no. of girls
(b+g) = total in group
:
b = g
multiply both sides by 12
4(2)b = 3(3)g
8b = 9g
=
Equal boy and girls passed so we can say:
9 = 8
6 = 6; therefore 12 represent total that passed
9 + 8 = 17 represents total students
:
fraction that passed
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