When 6 new boys are admitted and 6 girls left from the class the percentage of girls decreased from 68 to 56 . Find orginal number of girls and boiys?
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Answer:
boys=16
girls=34
Step-by-step explanation:
x boys
y girls
girls%=100*y/x+y=68
100y=68x+68y
68x-32y=0
17x-8y=0
================
When 6 new boys are admitted and 6 girls left from the class the percentage
=100*(y-6)/x+y+6-6=56
100y-600=56x+56y
56x-44y=-600
14x-11y=-150
======================
187x-88y=0
112x-88y=-1200
subtract
75x=1200
x=1200/75=16
17*16=8y
y=17*2=34
boys=16
girls=34
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