Question 150808
(1)   Set up a system of equations to model this scenario.


b=# of boys
g=# of girls


.44b+.35g=231
b+g=615
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(2) how many boys and how many girls were in the survey. 


Solve for g in the second equation
g=615-b


plug that in for g in the top equation
.44b+.35(615-b)=231


Distribute
.44b+215.25-.35b=231


Combine like terms
.09b+215.25=231


Subtract 215.25 from both sides
.09b=15.75


Divide each side by .09
b=175


g=615-b
g=615-175
g=440


# of boys=175
# of girls=440