Calculate the Total Number of Passed Students
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19. In a class there are 300 boys and 120 girls, while the number of failed boys and girls are equal. If passed boys are 180% more than passed girls, then find the number of passed students (boys & girls) in the class. (a) 380 (b) 360 (c) 329 (d) 240 (e) 400
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Understanding the Problem
There are 300 boys and 120 girls in the class.
Failed boys and failed girls are equal.
We are also told that the number of passed boys is one hundred eighty percent more than the number of passed girls.
Let the number of failed boys and failed girls each be equal to x.
Now let's express the passed students using the total numbers of boys and girls.
Forming Equations
Using the condition that passed boys are two point eight times the passed girls, substitute these expressions into the relation.
First expand the bracket on the right side.
Now move the x terms to one side and constants to the other side.
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