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)
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.
Hello, jarny!
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]: .