SOLUTION: Lisa and Mike are sister and brother. Lisa has twice as many sisters as brothers, and Mike has five times as many sisters as brothers. How many girls and boys are there in this fam

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Question 831005: Lisa and Mike are sister and brother. Lisa has twice as many sisters as brothers, and Mike has five times as many sisters as brothers. How many girls and boys are there in this family?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Lisa and Mike are sister and brother.
Let g = no. of girls
Let b = no. of boys
Lisa has twice as many sisters as brothers,
2b = g - 1
g = 2b + 1
:
and Mike has five times as many sisters as brothers.
g = 5(b-1)
g = 5b - 5
g = g, therefore
5b - 5 = 2b + 1
5b - 2b = 1 + 5
3b = 6
b = 6/3
b = 2 boys
then
2(2) + 1 = 5 girls