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I wrote this question because it illustrates the benefits of reading the question from start to finish before putting pen to paper. Doing so increases the likelihood here that you realize that only one variable is needed.

The equations you wrote are actually valid, albeit less efficient . You must’ve made a mistake in subsequent steps.

I love your attitude by the way, <I’m not good at algebra yet>. , key word yet. It reflects an optimism that I love to see in my students!
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Hi Kevin,

Very efficient approach to this complicated calculation. However 'N' that you have calculated is total no of bottles and not the no. of bottles of olive oil (which is asked in Q). or is there anything I'm missing here?
kevincan
Let N be the original number of bottles.

The original total cost is 14.40N.

Replacing 10 bottles of extra-virgin oil with 60 bottles of refined oil:

10 × $18 = $180 removed

60 × $6 = $360 added

So the total cost increases by $180, while the number of bottles increases by 50.

The new average cost is:

14.40 − 0.90 = $13.50

Therefore,

(14.40N + 180)/(N + 50) = 13.50

14.40N + 180 = 13.50N + 675

0.90N = 495

N = 550

Answer: (D) 550
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Welcome to Gmatclub! All bottles in Davanti’s order contain olive oil, be it extra virgin or refined, so the question amounts to asking about the total number of bottles.
Has anybody else had trouble with the wording ?

PS Don’t put refined olive oil on salads!
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Solved using alligations.

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Harsha
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Is this not the correct method? By this I am getting ans as 165
QuizBall
I am not good at these.... I will type out my error

(18e + 6r) / (e+r) = 14.40

Then....

(18(e-10) + 6(r+60)) / ((e-10) + (r+60)) = 13.50

And I think this is a far too complicated point to start from because my math got complicated and it took me far to long to end up with...

554.4 = 4/5e
e= 693

that number was too large so I stopped...I need to learn how to approach these problems in a way that they are solvable. I am not good at algebra yet.
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For counting number of Bottles

18a+6b = 14.40(a+b)
a:b=7:3
Reetisha
Is this not the correct method? By this I am getting ans as 165

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This method will also work.



---
Harsha
Reetisha
Is this not the correct method? By this I am getting ans as 165

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