SOLUTION: The number of girls in the swim club is 11 less than two thirds the number of boys. If there are 79 children in the swim club, how many are boys and how many are girls?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The number of girls in the swim club is 11 less than two thirds the number of boys. If there are 79 children in the swim club, how many are boys and how many are girls?      Log On


   



Question 258120: The number of girls in the swim club is 11 less than two thirds the number of boys. If there are 79 children in the swim club, how many are boys and how many are girls?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The number of girls in the swim club is 11 less than two thirds the number of boys.
g = 2%2F3b = 11
:
If there are 79 children in the swim club, how many are boys and how many are girls?
g + b = 79
g = (79-b)
:
Replace g with (79-b) in the 1st equation
(79-b) = 2%2F3b - 11
Multiply by 3
3(79-b) = 2b - 33
237 - 3b = 2b - 33
237 + 33 = 2b + 3b
270 = 5b
b = 270%2F5
b = 54 boys
then
g = 2%2F3*54 -11
g = 25 girls
;
:
Check total children: 25 + 54 = 79