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A feed store sells two varieties of birdseed: Brand A, which

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Re: A feed store sells two varieties of birdseed: Brand A, which  [#permalink]

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New post 02 Apr 2016, 18:00
.4A+.65B=.5(A+B)
A/B=3/2
A=3/5=60% of mix
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Re: A feed store sells two varieties of birdseed: Brand A, which  [#permalink]

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New post 22 Mar 2018, 23:57
Can someone explain why we divide 15 by 25? Actually, I have divided 10 by 25, because I thought 10 is the amount which refers to A. Thanks in advance :)
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A feed store sells two varieties of birdseed: Brand A, which  [#permalink]

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New post 29 May 2019, 21:16
umaa wrote:
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?

A) 40%

B) 45%

C) 50 %

D) 60 %

E) 55 %


Let the customer mixed a quantity of Brand A and b quantity of Brand B.

So, 40%*a + 65%* b = 50% (a+b)

b= (2/3)*a

We have to find: a/(a+b), substituting the value of b in terms of a we get 3/5, i.e. 60% D

Shortcut for GMAT
(w1) 40-a-50-b-65 (w2)

a=10
b=15

Beam balance method:

w1 * 10 = 15 * w2
w1/w2 = 3/2

so % of w1 = 3/(3+2) = 3/5 = 60%
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A feed store sells two varieties of birdseed: Brand A, which  [#permalink]

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New post 24 Sep 2019, 10:28
Enael wrote:
Took me 1min.

Only take the Millet percentages since that's the goal mix you´re trying to find.

0.40x + 0.65(1-x) = 0.50
0.40x+ 0.65 - 0.65x = 0.50
0.25x = 0.15
x = 0.60

Hope it helps!


Hi,
Can you please help me here to understand how this 1 is considered in the calculation? appreciate your response.
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Re: A feed store sells two varieties of birdseed: Brand A, which  [#permalink]

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New post 29 Jan 2020, 05:23
65 - 50/ 50 - 40 = 3/2 meaning A is 3 parts of the original 5 parts and is 60%
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Re: A feed store sells two varieties of birdseed: Brand A, which  [#permalink]

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New post 17 Apr 2020, 03:20
umaa wrote:
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?

A) 40%

B) 45%

C) 50 %

D) 60 %

E) 55 %


We can let x = the amount of millet in Brand A and y = the amount of millet in Brand B: We can create the equation:

0.4x + 0.65y = 0.5(x + y)

40x + 65y = 50x + 50y

15y = 10x

3y = 2x

We see that we can let x = 3 and y = 2 (so that 3y = 2x). Thus, the percent of the mix that is Brand A is 3/(3 + 2) = 3/5 = 60%.

Answer: D
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Re: A feed store sells two varieties of birdseed: Brand A, which   [#permalink] 17 Apr 2020, 03:20

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