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# A certain game requires players to collect both blue tokens, which are

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Senior RC Moderator
Status: Preparing GMAT
Joined: 02 Nov 2016
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Location: Pakistan
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A certain game requires players to collect both blue tokens, which are  [#permalink]

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07 Feb 2019, 11:17
3
00:00

Difficulty:

35% (medium)

Question Stats:

36% (03:14) correct 64% (03:21) wrong based on 11 sessions

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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) $$\frac{(100b - bq + qr)}{(10,000b - 100bq)}$$

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Re: A certain game requires players to collect both blue tokens, which are  [#permalink]

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07 Feb 2019, 19:19
1
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
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: A certain game requires players to collect both blue tokens, which are   [#permalink] 07 Feb 2019, 19:19
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