SOLUTION: in a class,45 students take the SAT exam. the number of boys is 8 more than the number of girls. write a system that models the above situation and find the solution. do you need t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: in a class,45 students take the SAT exam. the number of boys is 8 more than the number of girls. write a system that models the above situation and find the solution. do you need t      Log On


   



Question 700585: in a class,45 students take the SAT exam. the number of boys is 8 more than the number of girls. write a system that models the above situation and find the solution. do you need to multiply any of the equations by a constant?if so, which equation and what is the constant?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
in a class,45 students take the SAT exam. the number of boys is 8 more than the number of girls. write a system that models the above situation and find the solution.
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Using 2 equations:
b + g = 45
b = g + 8
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Rearrange:
b + g = 45
b - g = 8
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Add and solve for "b":
2b = 53
b = 26.5
Rounding up b = 27 (# of boys)
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Solve for "g":
b + g = 45
27 + g = 45
g = 18 (# of girls)
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Cheers,
Stan H.
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