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Is the cost of an Organ more than the cost of a Flute ? A) Three times the cost of an organ is $15 more than twice the cost of a Flute. B) Five times the cost of an organ is $12 more than six time the cost of a Flute.
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Let me try: X: Cost of the organ Y: Cost of the flute 1) 3X - 2Y = 15Two variables, one equation, not enough. 2) 5X - 6Y = 12It seems the same as in 1) But, let's divide the equation by 6. \frac{5X}{6} - Y = 2So, if we had x - y, the result would be greater than 2. Answer: B What do you think?
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metallicafan wrote: Let me try:
X: Cost of the organ
Y: Cost of the flute
1) 3X - 2Y = 15
Two variables, one equation, not enough.
2) 5X - 6Y = 12
It seems the same as in 1)
But, let's divide the equation by 6.
\frac{5X}{6} - Y = 2
So, if we had x - y, the result would be greater than 2.
Answer: B
What do you think? Thanks. Wasn't 100% clear before, since 2nd equation too got 2 variables. I took both the equations to solve and ended up in the trap answer C. Here the logic is 5/6 is less than 1 and still X possess a greater value as the answer is 2. Right? Thanks metallicafan
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cleetus wrote: metallicafan wrote: Let me try:
X: Cost of the organ
Y: Cost of the flute
1) 3X - 2Y = 15
Two variables, one equation, not enough.
2) 5X - 6Y = 12
It seems the same as in 1)
But, let's divide the equation by 6.
\frac{5X}{6} - Y = 2
So, if we had x - y, the result would be greater than 2.
Answer: B
What do you think? Thanks. Wasn't 100% clear before, since 2nd equation too got 2 variables. I took both the equations to solve and ended up in the trap answer C. Here the logic is 5/6 is less than 1 and still X possess a greater value as the answer is 2. Right? Thanks metallicafan Right. Maybe it is not the most elegant solution, but it is what I would do. I am sure that there is a better way to solve it.
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cleetus wrote: Is the cost of an Organ more than the cost of a Flute ?
A) Three times the cost of an organ is $15 more than twice the cost of a Flute.
B) Five times the cost of an organ is $12 more than six time the cost of a Flute. IMO its B. This is how i solved it... S1: 3M = 15+2F => M = 5+0.66F.. In this equation as we are getting the decreased value in terms of 0.66F. So insufficient. For example F can be 100 so M = 71 or if F = 12, M becomes 23. S2: 5M = 12+6F => M = 2.4+1.2F. Here for whatever may be the value of the flute is Organ price is always greater as 1.2F will always be greater than F. Sufficient.
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Thanks for more clarity +1
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Can't this be solved just by logic, For 3x-2y = 12 or to have a +ve value, x can be less than y or x can be greater than y...so not sufficient. For 5x-6y=15 or = to have a +ve value, x should be always greater than y...so sufficient. Ans = B. I know this is a crude method, but it helps when v have a crunch of time and in GMAT, v always do.. 
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Manager
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Yes this can be solved using logic. The above 2 explanation is just to illustrate how the logic works. There are chances for beginners to go with the trap answer option C. +1 to you.
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