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Donald has $520,000 in campaign money available to spend on advertising for the month of October, and his advisers are telling him that he should spend a minimum of $360,000 in the battleground states of Ohio, Florida, Virginia, and North Carolina. If he plans to spend the minimum amount in battleground states to appease his advisers, plus impress his friends by a big ad spend specific to New York City (and then he will skip advertising in the rest of the country), how much money will he have remaining if he wants 20% of his ad spend to take place in New York City?

Donald has $520,000 in campaign money available to spend on advertisin [#permalink]

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27 Oct 2016, 10:28

Bunuel wrote:

Donald has $520,000 in campaign money available to spend on advertising for the month of October, and his advisers are telling him that he should spend a minimum of $360,000 in the battleground states of Ohio, Florida, Virginia, and North Carolina. If he plans to spend the minimum amount in battleground states to appease his advisers, plus impress his friends by a big ad spend specific to New York City (and then he will skip advertising in the rest of the country), how much money will he have remaining if he wants 20% of his ad spend to take place in New York City?

(A) $45,000

(B) $52,000

(C) $70,000

(D) $90,000

(E) $104,000

Let x be the amount that he spends in NYC. He wants x to be 20% of his total ad spending, so \(\frac{x}{360k+x}=.2\). Multiplying both sides by 360 + x and solving, x = 90k. After spending 360k in battleground states, and 90k in NYC, he's spent a total of 450k, leaving 70k leftover.

Donald has $520,000 in campaign money available to spend on advertising for the month of October, and his advisers are telling him that he should spend a minimum of $360,000 in the battleground states of Ohio, Florida, Virginia, and North Carolina. If he plans to spend the minimum amount in battleground states to appease his advisers, plus impress his friends by a big ad spend specific to New York City (and then he will skip advertising in the rest of the country), how much money will he have remaining if he wants 20% of his ad spend to take place in New York City?

(A) $45,000

(B) $52,000

(C) $70,000

(D) $90,000

(E) $104,000

We are given that Donald spends on advertising in battleground states and New York City only. We are also given that he plans to spend $360,000 in the battleground states and 20% in New York City. Since he only spends the money in battleground states and New York City, the $360,000 he plans to spend in battleground states is 80% of the total he plans to spend on advertising. If we let x = the total he he plans to spend on advertising, then:

360,000 = 0.8x

x = 360,000/0.8 = 3,600,000/8 = 450,000

Since he has $520,000 available and he plans to spend $450,000, he will have 520,000 - 450,000 = $70,000 left.

Answer: C
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

But the Q says that he has 520K to spend on advertising, so why not take 520-(360+(0.2*520))?

"Donald has $520,000 in campaign money available to spend on advertising"

They clearly tell that 520 is 100% so we should take 20% of the 520K not 360K. Those 360K will be all spent to please his advisers.

Seriously sometimes I could argue to death about the wording in these questions...

So you are overlooking the word "available." The problem states that "He has $520,000 available to spend ... "

Thus, it does not mean that he actually spent all $520,000.

Furthermore, when we are told that Donald spent 20% of his adspend in NYC, we are determining how much was actually spent on advertising, not how much was available to spend. Does that answer your question?
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

But the Q says that he has 520K to spend on advertising, so why not take 520-(360+(0.2*520))?

"Donald has $520,000 in campaign money available to spend on advertising"

They clearly tell that 520 is 100% so we should take 20% of the 520K not 360K. Those 360K will be all spent to please his advisers.

Seriously sometimes I could argue to death about the wording in these questions...

The question stem stays that the 520,000$ is available for ad spend and it is not actually spent in the ad. After calculating you will find that actual ad spent was only 450,000$ and rest 70,000 remained with Donald only
_________________

Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

Re: Donald has $520,000 in campaign money available to spend on advertisin [#permalink]

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04 Aug 2017, 23:09

Bunuel wrote:

Donald has $520,000 in campaign money available to spend on advertising for the month of October, and his advisers are telling him that he should spend a minimum of $360,000 in the battleground states of Ohio, Florida, Virginia, and North Carolina. If he plans to spend the minimum amount in battleground states to appease his advisers, plus impress his friends by a big ad spend specific to New York City (and then he will skip advertising in the rest of the country), how much money will he have remaining if he wants 20% of his ad spend to take place in New York City?

(A) $45,000

(B) $52,000

(C) $70,000

(D) $90,000

(E) $104,000

Money available to spend = 520000 $ A minimum of $360,000 in the battleground states of Ohio, Florida, Virginia, and North Carolina. 20% of his ad spend to take place in New York City

So, Let the ad spend in New York city be x. Also let remove the last 3 zeros to minimize the calculation efforts.