Question

Selena caught a fish that weighed 1 3/4 pounds. It weighed half a pound more than one half the weight of the fish Sam caught. What did sam’s fish weigh?

Answer 1

The weight of the Sam's Fish = 2.5 pounds =
`2(1)/(2)` pounds

Step-by-step explanation:

The weight of the fish caught by Selena =
`1 (3)/(4)   = 1 +  (3)/(4)   = 1.75` pounds

Now , let the weight of the Sam's fish = k pounds

So, according to the question:

Half Pound + Half the weight of Sam's Fish = Selena's Fish

or,
`(1)/(2)  + (k)/(2)   = 1.75`

or,
`(k)/(2) =1.75 -  (1)/(2)   \implies k = 2( 1.75 - 0.5)`

or, k = 2.5 pounds

Hence, the weight of the Sam's Fish = 2.5 pounds =
`2(1)/(2)` pounds