# Sounds Fishy

Benny and Jimmy are buying 10 lbs of fish @ \$10/lb,  therefore the fisherman would get \$100. But they want the fish cut in half because Benny wants the heads and Jimmy wants the just the body. the head section is worth only \$3/lb while the body is worth \$7/lb so Benny would pay 5 lbs x \$3 = \$15 and Jimmy would pay 5 lbs x \$7 = \$35 so all told, they pay \$50 but where did the other \$50 go?

### 7 guesses to Sounds Fishy

• G

They are getting 10lbs of fish. 10lbs @ 3/lb = 30 and 10lbs @ 7/lb = 70 therefore 100 dollars. The other fifty would be for the other 5lbs of fish.

• Dude

That’s not quite it, but you’re on the right track.

Keep trying.

• serrano

They did not pay for 10lbs of fish but 10lbs of fish parts. Benny paid for 5lbs of heads and Jimmy paid for 5lbs of bodies. Heads are 3\$/lbs and bodies are 7\$/lbs the total comes out to be 50\$ this is so because you will get more heads then you would bodies so there is not 10lbs of fish but of parts so the other 50\$ is not in the question

• Dude

No, that’s not it. Keep trying.

• Roolstar

There’s something fishy about the listed pricing:
\$10/lb of fish does not mean \$3/lb for the head and \$7/lb for the body
In fact:
A- \$10/lb of fish => \$14/lb for the body and \$6/lb for the head
(Total money for 10 lb of fish \$100 = \$70 +\$30)
B- \$7/lb for the body and \$3/lb for the head => \$5/lb of fish
(Total money for 10 lb of fish \$50 = \$35 + \$15)

Explanation:
If a fish is 1 lb and is divided in half into a head (1/2 lb) and a body (1/2 lb)

A- If \$10/lb for the fish is the price set by the fisherman:
=> the body costs \$7 for 1/2 lb (\$14/lb not \$7/lb)
=> the head costs \$3 for 1/2 lb (\$6/lb not \$3/lb)
=> they should pay in total \$100: Benny \$30 and Jimmy \$70

B- If the set pricing is \$7/lb for body and \$3/lb for head:
=> A 1 lb fish will actually cost \$7/2 +\$3/2 = \$5/lb (not \$10/lb)
=> they should pay in total \$50: Benny \$15 and Jimmy \$35

• Dude

You are correct.

The fisherman unwittingly gave them a 50% discount by having their prices total 10 per 2 lb when purchased as heads and bodies rather than as whole fish. The prices should have been 6/lb for heads and 14/lb for bodies.

Great job, you’re today’s winner.

• This fish riddle was tough, I love the title though haha. Want to check out another fish riddle I found that I think you’d like: 10 Fish In A Tank Riddle