SOLUTION: Divide 107 participants in a training course into 2 groups such that twice the smaller group exceeds three halves of the bigger group by 11. How many participants will there be in

Question 921410: Divide 107 participants in a training course into 2 groups such that twice the smaller group exceeds three halves of the bigger group by 11. How many participants will there be in the bigger group? ( answer is 58 - show your solution )
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Divide 107 participants in a training course into 2 groups such that twice the smaller group exceeds three halves of the bigger group by 11. How many participants will there be in the bigger group? ( answer is 58 - show your solution )
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let x=bigger group
107-x=smaller group
2(107-x)=3x/2+11
214-2x=3x/2+11
428-4x=3x+22
7x=406
x=58
How many participants will there be in the bigger group? 58
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