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Is the cost of an Organ more than the cost of a Flute ? [#permalink]

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23 Nov 2011, 16:00

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Is the cost of an Organ more than the cost of a Flute ?

(1) Three times the cost of an organ is $15 more than twice the cost of a Flute. (2) Five times the cost of an organ is $12 more than six time the cost of a Flute.

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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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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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.

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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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.

Re: Is the cost of an Organ more than the cost of a Flute ? [#permalink]

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16 Jun 2016, 06:54

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