SOLUTION: 5∕9th of the girls and 3∕5th of the boys of a primary school participated in the annual sports If the number of participating students is 322 out of which 147 are boys

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 5∕9th of the girls and 3∕5th of the boys of a primary school participated in the annual sports If the number of participating students is 322 out of which 147 are boys      Log On


   

Question 1007146: 5∕9th of the girls and 3∕5th of the boys of a primary school participated in the annual sports If the
number of participating students is 322 out of which 147 are boys, what is the total number of
students in the primary school ?
Answer by fractalier(6550) About Me  (Show Source):
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Okay, since 3/5 of the boys number 147, we can write
(3/5)b = 147
Now multiply by 5/3 and get
b = (5/3)(147) = 245 boys
And, since there are 322 total participants,
322 - 147 = 175 must be girls, so that
(5/9)g = 175
Now multiply by 9/5 and get
g = (9/5)(175) = 315 girls
Total = 245 boys + 315 girls = 560 students