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?
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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) (Show Source): You can put this solution on YOUR website!
The number of girls in the swim club is 11 less than two thirds the number of boys.
g = b = 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) = b - 11
Multiply by 3
3(79-b) = 2b - 33
237 - 3b = 2b - 33
237 + 33 = 2b + 3b
270 = 5b
b =
b = 54 boys
then
g = *54 -11
g = 25 girls
;
:
Check total children: 25 + 54 = 79
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