The Bangor Coat Factory found that the number of coats sold N varies directly as their advertising budget A and inversely as the price of each coat P. The Bangor Coat Factory sold 10,800 coats when $30,000 was spent on advertising and the price of a coat was set at $50. Determine the number of coats sold when the amount spent on advertising is increased to $70,000

a) 3888 coats b) 24480 c) 1400 d) 25200

Question

Mathematics

Celeste Tucker

15 March, 05:46

The Bangor Coat Factory found that the number of coats sold N varies directly as their advertising budget A and inversely as the price of each coat P. The Bangor Coat Factory sold 10,800 coats when $30,000 was spent on advertising and the price of a coat was set at $50. Determine the number of coats sold when the amount spent on advertising is increased to $70,000

a) 3888 coats b) 24480 c) 1400 d) 25200

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Answers (1)

Know the Answer?

Marie Simpson · Answer 1

The answer is 25,200.

This can be solved by using proportion.

Set up the proportion as follows:

(10,800/30,000) = (x) / (70,000)

By cross multiplying you get:

(30,000) (x) = (70,000) (10,800)

x=[ (70,000) (10,800) ]/30,000

x=25,200 coats