Thread: 11th Grade Math Question - Fractions?

I need help with the following math question:

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


Any help or starts are greatly appreciated. Thanks.

Sorry, I didn't see the "Grade School" description for the forum. How do I delete it now though?

Let b be the boys and g be the girls.

So, two-thirds OF all boys (of indicates you're multiplying) passed is equal to three-fourths OF all girls (again multiplying) passed.

You are trying to find the fraction of those passed divided the total number of boys and girls (b + g)

Can you try setting up the fraction now? After doing so, use the relation between boys and girls and see what you arrive at

Let b be the boys and g be the girls.

The number of boys passed = the number of girls passed
2/3 b = 3/4 g
b = 9/8 g

The fraction of boys and girls passed = the number of boys and girls passed / the number of boys and girls
= 2/3 b + 3/4 g divided by b+g
Substitute b = 9/8 g and you got the fraction to be 12/17.

Sorry not using Latex for the equation; I do not know how to use it.

Originally Posted by hobbitthedog

I need help with the following math question:

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


Any help or starts are greatly appreciated. Thanks.

50% of boys and 50% of girls...
$\displaystyle 0.5(\frac{2}{3} + \frac{3}{4})$

$\displaystyle \frac{2}{6}+\frac{3}{8}$

$\displaystyle \frac{8}{24}+\frac{9}{24}$

$\displaystyle \frac{17}{24}$