Question

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

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