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I know the answer but I need it explained

At a golf tournament involving 84 golfers the ratio of juniors to seniors is 5:7. How many junior goflers and how many senior golfers are playing in the tournament?

 

pls help

 Oct 7, 2017
 #1
avatar+27775 
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Suppose there are j juniors, then there must be 84 - j seniors.

 

You are told that  j/(84 - j) = 5/7

 

Multiply both sides by 84 - j

 

j = 5(84 - j)/7

 

Multiply both sides by 7

 

7j = 5(84 - j)

 

Expand the right hand side

 

7j = 5*84 - 5j

 

Add 5j to both sides

 

12j = 5*84

 

Divide both sides by 12

 

j = 5*84/12 → 35

 

Hence there are 35 juniors and 84-35 = 49 seniors

.

 Oct 7, 2017
 #2
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5 / [5+7] x  84 =35 Junior golfers.

7 /[5+ 7]  x 84 =49 Senior golfers.

 Oct 7, 2017

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