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The Duke Ellington Company plans to run the following ads: three 3/5 page daily,

one 2/5 page on Saturday, and a full page ad on Sunday. What is the advertisement
cost for the company?

a) $1200
b) $1500
c) $1800
d) $2000

User John Guan
by
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1 Answer

4 votes

Final answer:

The advertisement cost for the Duke Ellington Company is $16, which is equal to $2000.

Step-by-step explanation:

To find the advertisement cost for the Duke Ellington Company, we need to calculate the total cost for each type of ad and then add them together. The cost of a 3/5 page ad is 3/5 times the cost of a full page ad, which is one unit. So the cost of a 3/5 page ad is 3/5 of the cost of a full page ad. Similarly, the cost of a 2/5 page ad is 2/5 times the cost of a full page ad. Now, let's assign a value to the full page ad, say $x.

Therefore, the cost of a 3/5 page ad is (3/5)x and the cost of a 2/5 page ad is (2/5)x. The total advertisement cost is then (3/5)x + (3/5)x + (3/5)x + (2/5)x + x = (9/5)x + (2/5)x + x = (16/5)x.

Since the cost of the full page ad on Sunday is the same as a full page ad, we can write:

(16/5)x = x

Simplifying this equation, we get 16x/5 = x

By cross-multiplying, we have 16x = 5x

Dividing both sides of the equation by x, we get 16/5 = 1

Therefore, x = 5

Plugging this value back in to the equation for the total advertisement cost, we have:

(16/5)(5) = 16

The advertisement cost for the Duke Ellington Company is $16. Therefore, the correct answer is d) $2000.

User Kyle Roux
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9.3k points