dried fruits a=25% b=60% nuts a=40% b=20% a

Question

dried fruits a=>25% b=>60%
nuts a=>40% b=>20%

a mixture of dried fruits,nuts and candy is to be made by combining mixtures a and b, which have dried fruits and nuts in the proportions shown in the table above.how many pounds of mixture a is needed for 100 pounds of the new mixture ?

1) the new mixture has 39 pounds of dried fruits.

2) candy represents 35% of mixture a and 20% of mixture b.

christoph · Answer

...neither E nor C ! anyone else ?

Antmavel · Answer

waow

this one is tough I've spent the last 20mn but I can't find the trick... you said it is not E, it is not C, ...I don't see how it could be D. Between A and B it is not so easy to choose. A is the only answer that talks about pounds but I would definitely take answer B (of course now I know C and E are not the OA :lol:

) Why B ? because we know the mixture has to contain candies and B is the only solution that talk about candies. In the given statements of the problem, we can not assume that there is no other ingredients than candies inside A or B mixture... it is just said that there are nuts and diet fruits, there could be anything else inside....however with statement B we know that 35% of A and 20% of B are candies, which exactly the unknown part of ingredients in each mixture, so that we know all the ingredients of each mixture... during real exam I would have answered C :roll:

Please explain OA Christoph, I am very curious about this one :idea:

HongHu · Answer

I got A.

25%a+60%b=39
a+b=100
Solvable

(2) is derivable from the question stem and adds no additional information to the solution.

banerjeea_98 · Answer

"A".

state I. a/4 + 3(100-a)/5 = 39.....solve for a and b...suff

state II....not suff...

Vijo · Answer

I do not und the question as both mixtures a and b are not dried fruits and nuts only... they do not add to 100%...........????

HongHu · Answer

Exactly, there may be other things in a and b, candies, for example.

Rupstar · Answer

Hong Hu can you explain how you got to the new mixture
i dont get it
thanks in advance

Folaa3 · Answer

I don't even understand the question. Perhaps i am having a bad day cos this better not show up on the test day. :cry:

Folaa3 · Answer

Oooops, i got it. :lol:

HongHu · Answer

I spend sometime trying to understand this question since the table is not clear in the way it is presented. In fact, it says in mixture a there are 25% of dried fruit and 40% nuts, and in mixture b there are 60% dried fruit and 20% nuts. The rest would be other things.

Now we want to make 100 pounds of new mixture using a and b.
In other words, a+b=100

(1) says in the new mixture there would be 39 pounds dried fruit.
In other words, the dried fruit in a plus the dried fruit in b add up to 39 pounds. I'll let you write this equation yourself.

Combine this with the first equation we could solve for a.

(2) didn't tell us anything, as I said before.

Vijo · Answer

I got it now Hong.

Thx

anirban16 · Answer

Should be A

As a+b=100

Also from (1) 0.25a + 0.6b =39 

Can be solved for a

While (2) gives the proportion of candy in a and b

But we still know only a +b =100 nuthin else

dried fruits a=>25% b=>60% nuts a=>40% b=>20% a

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards