SajjadAhmad wrote:
A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens, which are worth r points each. If p percent of player A's points are from blue tokens and q percent of player A's token are red, which of the following is an expression for the value of p, in terms of b, r, and q?
A) \(\frac{100bq}{(bq + 100r - qr)}\)
B) \(\frac{(10,000b - 100bq)}{(100b - bq + qr )}\)
C) \(\frac{(bq + 100r - qr)}{100 bq}\)
D) \(\frac{(100b - bq)}{(100r - 100bq - qr)}\)
E) \(\frac{(100b - bq + qr)}{(10,000b - 100bq)}\)
Let the total number be 100, as this is a percentage question..
Now p+q=100 or p=100-q..
Value of blue = pb, and value of red = qr
Percentage of value of b = \(100*\frac{pb}{pb+qr}\)
Substitute p =100-q, so Percentage of value of b =p= \(100*\frac{(100-q)b}{(100-q)b+qr}\)= \(\frac{(10,000b - 100bq)}{(100b - bq + qr )}\)
B
Can you elaborate how the value of blue is pb and value of red is qr.