SOLUTION: Suppose that 6% of the eighth graders and 3% of the seventh grades at Washington Junior High participate in MATHCOUNTS. There are 1.5 times as many eighth graders as seventh grader

Question 979638: Suppose that 6% of the eighth graders and 3% of the seventh grades at Washington Junior High participate in MATHCOUNTS. There are 1.5 times as many eighth graders as seventh graders at the school. What percentage of the seventh and eight graders, taken together, participates in MATHCOUNTS?Express your answer to the nearest hundredth

Answer by JoelSchwartz(130) (Show Source): You can put this solution on YOUR website!
x=number of eight graders
y=number of seventh graders
.06x+.03y=total number of students that are in mathcounts
x=1.5y
.06*1.5y+.03y=.12y
z=percentage of the total number of students that participated in mathcounts
z(x+y)=.12y
z*2.5y=.12y
z=.048
The percentage rounded will be .05
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