Question

14. Dogfish (a kind of small shark) is one of the few fish that are still abundant in New England coastal waters. According to an Washington Times (September 28, 2014), Maine fishermen caught a little more than 100,000 pounds of dogfish in 2013 at a total value of $17,945, barely a tenth of the price per pound of haddock, and less than 7 percent of the price per pound of cod. The total value of the cod catch was $736,154, while for haddock it was $211.279. Associated Press article published in the the 2013 price per pound of dogfish? (a) What was (b) What were the approximate prices per pound of haddock and of cod? (c) Estimate the size in pounds of both the haddock and cod catch in Maine in 2013.

Answer 1

a)

Total cost Price per pound of dogfish Total dogfish caught|

17945 $0.17945 per pound Price per pound of dogfish 100000

b)

$7\% \text{of price per pound of cod fish}=\text{Price per pound of dogfish}$

100 Price per pound of cod fish Price per pound of dogfish x

100 Price per pound of cod fish 0.17945 x $2.5636 per pound

Similarly,

$10\% \text{of price per pound of haddock fish}=\text{Price per pound of dogfish}$

$\text{Price per pound of haddock fish}=\text{Price per pound of dogfish}\times \frac{100}{10}$

$\text{Price per pound of haddock fish}=0.17945\times \frac{100}{10}=\$1.7945\text{ per pound}$

c)

$\text{Size in pounds for haddock fish}=\frac{\text{ Total price}}{\text{ price per pound}}$

$\text{Size in pounds for haddock fish}=\frac{211279}{1.7945}=117737 \text{ pounds}$

similarly,

$\text{Size in pounds for cod fish}=\frac{\text{ Total price}}{\text{ price per pound}}$

$\text{Size in pounds for cod fish}=\frac{736154}{2.5636}=287159.5 \text{ pounds}$​​​​​​​