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
+33652 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
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