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A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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09 Dec 2012, 13:38

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A store sells two types of birdfeeder: Alphas and Bravos. Alphas feed one bird at a time, whereas Bravos feed two birds at a time. The total number of birds that can be fed at one time by birdfeeders sold last month is 50. What is the total revenue generated by birdfeeders sold last month?

(1) Last month, the price of each Alpha was $15, and the price of each Bravo was $30. (2) 40 Alphas were sold last month.

Re: A store sells two types of birdfeeder: Alphas and Bravos [#permalink]

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09 Dec 2012, 22:09

Let a be the number of alphas sold and b be the number of bravos. Then a + 2b = 50

To know the revenue generated, we must know the price of each alpha, the price of each beta, a, and b.

Statement 1: Through this, we can find 15(a+2b). Sufficient. Statement 2: This gives us a, through which we can find b. However, we do not know the prices.

Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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10 Dec 2012, 02:01

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Expert's post

Nice little tricky question. OA is correct it should be A, not C.

A store sells two types of birdfeeder: Alphas and Bravos. Alphas feed one bird at a time, whereas Bravos feed two birds at a time. The total number of birds that can be fed at one time by birdfeeders sold last month is 50. What is the total revenue generated by birdfeeders sold last month?

Given that a+2b=50, where a and b are the number of Alphas and Bravos sold, respectively.

(1) Last month, the price of each Alpha was $15, and the price of each Bravo was $30 --> we need to find the value of 15a+30b --> 15a+30b=15(a+2b)=15*50. Sufficient.

(2) 40 Alphas were sold last month. We can find b, but we don't know the prices of each birdfeeder. Not sufficient.

Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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10 Dec 2012, 03:29

Bunuel wrote:

Nice little tricky question. OA is correct it should be A, not C.

A store sells two types of birdfeeder: Alphas and Bravos. Alphas feed one bird at a time, whereas Bravos feed two birds at a time. The total number of birds that can be fed at one time by birdfeeders sold last month is 50. What is the total revenue generated by birdfeeders sold last month?

Given that a+2b=50, where a and b are th number of Alphas and Bravos sold, respectively.

(1) Last month, the price of each Alpha was $15, and the price of each Bravo was $30 --> we need to find the value of 15a+30b. Reduce by 15: we need to find the value of a+2b, which is given to be 50. Sufficient.

(2) 40 Alphas were sold last month. We can find b, but we don't know the prices of each birdfeeder. Not sufficient.

Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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10 Dec 2012, 03:40

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Bunuel wrote:

Nice little tricky question. OA is correct it should be A, not C.

A store sells two types of birdfeeder: Alphas and Bravos. Alphas feed one bird at a time, whereas Bravos feed two birds at a time. The total number of birds that can be fed at one time by birdfeeders sold last month is 50. What is the total revenue generated by birdfeeders sold last month?

Given that a+2b=50, where a and b are the number of Alphas and Bravos sold, respectively.

(1) Last month, the price of each Alpha was $15, and the price of each Bravo was $30 --> we need to find the value of 15a+30b --> 15a+30b=15(a+2b)=15*50. Sufficient.

(2) 40 Alphas were sold last month. We can find b, but we don't know the prices of each birdfeeder. Not sufficient.

Answer: A.

Hope it's clear.

Bunuel, you really are unbreakable! Kudos for the question anyone?

Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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10 Dec 2012, 03:42

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Expert's post

Maxswe wrote:

Bunuel wrote:

Nice little tricky question. OA is correct it should be A, not C.

A store sells two types of birdfeeder: Alphas and Bravos. Alphas feed one bird at a time, whereas Bravos feed two birds at a time. The total number of birds that can be fed at one time by birdfeeders sold last month is 50. What is the total revenue generated by birdfeeders sold last month?

Given that a+2b=50, where a and b are the number of Alphas and Bravos sold, respectively.

(1) Last month, the price of each Alpha was $15, and the price of each Bravo was $30 --> we need to find the value of 15a+30b --> 15a+30b=15(a+2b)=15*50. Sufficient.

(2) 40 Alphas were sold last month. We can find b, but we don't know the prices of each birdfeeder. Not sufficient.

Answer: A.

Hope it's clear.

Bunuel, you really are unbreakable! Kudos for the question anyone?

Nice question. Kudos to you for posting it. _________________

Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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19 Jan 2015, 01:54

This question exemplifies why its really important to multiply out the question stem and answers and figure out exactly what it is asking for.

We know that the total number of birds that can be fed at one time is 50 and that B can feed two at a time and A can feed one. Thus we know A+2B=50 (with A being the number of A birdfeeders sold and B being the umber of B birdfeeders sold)

(1) tells us that the price of the A was $15 and the price of B was $30 when we initially look at this, most people would assume that you cannot know the answer just from this, because we don't know how many total birdfeeders were sold, but let's put it into an equation 15A+30B--------> 15(A+2B) because we know what A+2B equals (50), we can actually figure out the revenue from the two birdfeeders 15(50), not need to multiply it out we now know 1 works by itself.

(2) 40 Alphas were sold last month tells us that 5 betas were sold (A+2B=50) however, since we don't know the price, we have no idea what the revenue is

Re: A store sells two types of birdfeeder: Alphas and Bravos. [#permalink]

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19 Jan 2015, 12:46

Expert's post

Hi All,

Like most GMAT questions, DS questions are often based on patterns (even if you don't realize that a pattern is there). Some Test Takers are great at "pattern-matching", but even if you're not, you can usually find a hidden pattern (if one exists) by doing a little bit of work.

Here, we're told that there are 2 types of bird-feeders: 1) Alphas feed 1 bird at a time 2) Betas feed 2 birds at a time

We're also told that a number of feeders were sold and these feeders could feed 50 birds at once. Thus, we have our first equation:

A + 2B = 50

**Note: It's INTERESTING that Betas feed DOUBLE the number of birds - whoever wrote this question chose that multiple ON PURPOSE**

We're asked for the total REVENUE generated from the sale of those feeders.

Fact 1: The price of each Alpha is $15, the price of each Beta is $30.

This might not seem like enough information, but notice how the price of each Beta is DOUBLE the price of each Alpha....whoever wrote this question has now given us 2 pieces of data that are based on "doubles"....maybe there's a pattern here...

Let's run some TESTs:

IF... A = 50 B = 0 50($15) + 0($30) = $750 revenue

IF.... A = 30 B = 10 30($15) + 10($30) = $750 revenue

IF.... A = 10 B = 20 10($15) + 20($30) = $750 revenue

It looks like the revenue is ALWAYS $750. This IS enough information to answer the question. Fact 1 is SUFFICIENT

Fact 2:40 Alphas were sold last month.

This tells us nothing about prices/revenue. Fact 2 is INSUFFICIENT

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