A group of boys and girls took a test. Exactly 2/3 of the boys and exactly 3/4 of the girls passed the test. If an equal number of boys and girls passed the test, what fraction of the entire group passed? help would be appreciated, thanks.

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- November 15th 2006, 06:12 PMjarnyhelp word problems
A group of boys and girls took a test. Exactly 2/3 of the boys and exactly 3/4 of the girls passed the test. If an equal number of boys and girls passed the test, what fraction of the entire group passed? help would be appreciated, thanks.

- November 15th 2006, 06:50 PMMr_Greenanswer
2/3 = 8/12

3/4 = 9/12

12 boys and 12 girls for a total of 24 students

8+9 = 17 students passed (8 boys and 9 girls) - November 15th 2006, 08:30 PMSoroban
Hello, jarny!

Quote:

A group of boys and girls took a test.

Exactly 2/3 of the boys and exactly 3/4 of the girls passed the test.

If an equal number of boys and girls passed the test,

what fraction of the entire group passed?

Let .

of the boys passed: . boys passed.

of the girls passed: . girls passed.

. . Hence, a total of students passed.

There was a total of students.

. . Hence, the fraction that passed is: .**[1]**

We are told that: .**[2]**

. . and hence: .**[3]**

Substitute [2] and [3] into [1]: .