5kg of X and 6kg of Y are mixed together. The mixture is

Question

1.5kg of X and 6kg of Y are mixed together.

The mixture is sold at $1.5 per 0.25kg.

The price of the mixture is 50% more than the cost of the mixture.

The total cost of X in the mixture and the total cost of Y in the mixture are the same.

What is the cost of X per kg?

gamjatang · Answer

Thank you for trying. However, $2 is not the answer.

GMATT73 · Answer

1.5X=6Y
1.5X+6Y=45

1.5X+1.5X=45--->3X=45--->X=15

($15)

Can we see the answer choices?

GMATT73 · Answer

<img src="{SMILIES_PATH}/icon_redface.gif" alt=":oops:" title="Embarassed" /> <img src="{SMILIES_PATH}/icon_redface.gif" alt=":oops:" title="Embarassed" />

gamjatang · Answer

10 is the answer.

Sorry for the question with poor english.
Originally the question was not written in English, and so I had to convert it into English. Excuse my poor english ^-^ please

likar · Answer

Price is +50% of the cost, so the cost must be 1$ per 0,25kg.
The mixture is 7,5kg in total (=30$).
Now 30/2 = 15$ (because the price of 1,5kg of X is equal to the price of 6kg of Y).
We're looking for the price of 1kg of X:
1,5kg cost 15$, so  the price of 1kg of X must be 10$ .

vivek123 · Answer

$1.5/0.25kg => $6/kg

for 7.5 kgs, price is $45.

Cost of mixture = $45/1.5 = $30.

cost of X = $15/1.5kg

Therefore, $10/kg

SunShine · Answer

$ 10/kg

total sale price 7.5*6=45,
total cost 30 
cost of x =15
15/1.5 = $10/kg

5kg of X and 6kg of Y are mixed together. The mixture is

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