SOLUTION: There are eight more girls than boys in a particular class. 3/5 of the boys and 1/3 of the girls were born in Georgia. If the number of boys that were born in Georgia is equal to

Algebra ->  Equations -> SOLUTION: There are eight more girls than boys in a particular class. 3/5 of the boys and 1/3 of the girls were born in Georgia. If the number of boys that were born in Georgia is equal to       Log On


   

Question 1081821: There are eight more girls than boys in a particular class. 3/5 of the boys and 1/3 of the girls were born in Georgia. If the number of boys that were born in Georgia is equal to the number of girls that were born in Georgia, how many students boys and girls together in that class were born in Georgia? show your work
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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There are eight more girls than boys in a particular class.
g = b + 8
3/5 of the boys and 1/3 of the girls were born in Georgia.
If the number of boys that were born in Georgia is equal to the number of girls that were born in Georgia,
3%2F5b = 1%2F3g
Cross multiply
9b = 5g
b = 5%2F9g
Using the 1st equation, replace b with 5%2F9g
g = 5%2F9g + 8
multiply eq by 9, cancel the denominator
9g = 5g + 72
9g - 5g = 72
4g = 72
g = 18 girls, then obviously we have 10 boys
:
how many students boys and girls together in that class were born in Georgia?
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Correction:
3%2F5(10) = 6 boys
1%2F3(18) = 6 girls
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Tot from Georgia 12 students