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A club found that it could achieve a membership ratio of 2 adults for each minor either by inducting 24 adults or by expelling x minors.  Find x.

 Dec 6, 2019

Best Answer 

 #1
avatar+19820 
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2 Adults to 1 Minor means twice as many Adults as Minors

A + M = membership

 

A + 24 = 2M        If you add 24 to A there will be twice as many A as M   (let's divide this equation by 2)

1/2 A + 12 = M      and re-arrange

12 = M - 1/2 A

 

Also given

M-x = 1/2 A    re-arrange

M-1/2 A = x       then look at the RED equation above

 

x=12

 Dec 6, 2019
 #1
avatar+19820 
0
Best Answer

2 Adults to 1 Minor means twice as many Adults as Minors

A + M = membership

 

A + 24 = 2M        If you add 24 to A there will be twice as many A as M   (let's divide this equation by 2)

1/2 A + 12 = M      and re-arrange

12 = M - 1/2 A

 

Also given

M-x = 1/2 A    re-arrange

M-1/2 A = x       then look at the RED equation above

 

x=12

ElectricPavlov Dec 6, 2019

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