math contest question

soo , there was a math contest
and i epically failed under the time limit and
got like 60 points :(
i think i couldve done waaaaay better
if there had been more time ..
i couldnt even check my answers or pick of a logical answer to guess ..
i did terrible and was mad ..
i felt so stressed during one question
that i felt like yelling and screaming in the middle of the contest LOL

anyways , one of the questions i can do
without using any diagrams is number ten

10) there are 400 students at pascal h.s., where the ratio of boys to girls is 3 : 2. there are 600 students at fermat c.i., where the ratio of boys to girls is 2 : 3. when considering all students from both schools , what is the ratio of boys to girls ?

so heres the work ::

pascal -
400 / 5 = 80
80 x 3 = 240 boys
80 x 2 = 160 girls

fermat -
600 / 5 = 120
120 x 2 = 240 boys
120 x 3 = 360 girls

the total number of boys and girls
480 : 520
if this ratio is reduced ,
it becomes 12 : 13
hence , the answer is B) 12 : 13

yay ! what an easy question ..
i epically failed this question
because , in the rush ,
i misread the numbers and made a miscalculation ..
becuase , my stupid brain wasnt reading properly
so i didnt get this answer
although i figured something was wrong -
because none of the amounts matched
i couldnt find the problem
anyways , yah ..
hopefully ill do better next time :)