SOLUTION: here are 42 pupils in a class 3\4 of the boys travel by bus an 2\3 of the girls travel to school by bus.the total number of pupils that travel by bus is 30.how many boys are th

Question 703194:
here are 42 pupils in a class 3\4 of the boys travel by bus an 2\3 of the girls travel to school by bus.the total number of pupils that travel by bus is 30.how many boys are there in the class?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
B+G=42
B=42-G
3B/4+2G/3=30
3(42-G)/4+2G/3=30
(126-3G)/4+2G/3=30
[3(126-3G)+4(2G)]/3*4=30
[378-9G+8G]/12=30
-G+378=360
-G=360-378
-G=-18
G=18 THE NUMBER OF GIRLS IN THE CLASS.
B+18=42
B=42-18
B=24 THE NUMBER OF BOYS IN THE CLASS.
PROOF:
3/4*24+2/3*18=30
18+12=30
30=30

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