Question

Sean and his family chartered a fishing boat for the day. Sean caught a blue marlin and an amberjack. The weight of the blue marlin was 12 times as great as the weight of the amberjack. The combined weight of both fish was 273 pounds. How much did each fish weigh?

Answer 1

Answer: The weight of blue marlin= 252 pounds

The weight of amber-jack = 21 pounds

Explanation:

Let x be the weight of blue marlin and y be the weigh of amber-jack.

According to the give question , we have the following system of equations :

`x=12y------------(1)\\\\x+y=273----------(2)`

Substitute the value of x from equation (1) in (2), we get

`12y+y=273\\\\ 13y=273`

Divide both sides by 13 , we get

y= 21

Put value of y in (1), we get

`x=12(21)=252`

Hence, the weight of blue marlin= 252 pounds

The weight of amber-jack = 21 pounds