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555-605 (Medium)|   Mixture Problems|                                          
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Will try to Use some reasoning...25% - Y and X - 40%.....
Means there is more of Y than of X.....So DE go out ....A seems too less for X ...That also goes out...Now B and C...
If X is 33.33% that means Y is 66% ...means double of X...Lets see..25% + 25% (Since its twice in value) + 40%..Gives us 90%/3....30% Bingo.....average ...
B is the answer
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Let's see the solution by Allegations:
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sondenso
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?


A. 10%

B. \(33\frac{1}{3}\)%

C. 40%

D. 50%

E. \(66\frac{2}{3}\)%





Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience

[email protected]
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Hi Jeff, Can we solve this problem also with the matrix method?
JeffTargetTestPrep


We are given information about ryegrass, bluegrass, and fescue. However, we are told the mixture of X and Y is 30 percent ryegrass. Thus, we only care about the ryegrass, so we can ignore fescue and bluegrass.

We are given that seed mixture X is 40% ryegrass and that seed mixture Y is 25% ryegrass. We are also given that the weight of the combined mixture is 30% ryegrass. With x representing the total weight of mixture X, and y representing the total weight of mixture Y, we can create the following equation:

0.4x + 0.25y = 0.3(x + y)

We can multiply the entire equation by 100:

40x + 25y = 30x + 30y

10x = 5y

2x = y

The question asks what percentage of the weight of the mixture is x.

We can create an expression for this:

x/(x+y) * 100 = ?

Since we know that 2x = y, we can substitute in 2x for y in our expression. So, we have:

x/(x+2x) * 100 = x/(3x) * 100 = 1/3 * 100 = 33.33%

Answer: B
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