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Posted

A trout's tail weighs eight pounds. Its head weighs as much as the tail and one-half of the body combined, and the body weighs as much as the head and tail combined. What does the whole trout weigh?

Posted

1. Tail = 8 lbs.

2. Head = 24 lbs.

3. Body = 32 lbs.

Total is 64 lbs.

h = head (h = 8 + 1/2b)

t = tail (t = 8lbs.)

b = body (b = h + 8)

h = 8 + 1/2 (h + 8)

h = 8 + 1/2h + 4

h = 12 + 1/2h

h - 1/2h = 12

1/2h = 12

h = 24

Posted

A trout's tail weighs eight pounds. Its head weighs as much as the tail and one-half of the body combined, and the body weighs as much as the head and tail combined. What does the whole trout weigh?

tail=8

head=24

body=32

total=64

Posted

That's it. Linda gets an A and gets to go home early. The rest of you have to stay and clean the blackboards !!!

It was over before I saw it -- but who gets to EAT this monster trout??!! 64 pounds could feed quite a few of us, and trout are yummy!

Catherine

Posted

A trout's tail weighs eight pounds. Its head weighs as much as the tail and one-half of the body combined, and the body weighs as much as the head and tail combined. What does the whole trout weigh?

9.73^

Posted

What was wrong with Dan's answer? Linda didn't even show her work. I think maybe she copied off of Dan! ;)

I think Dan went back and edited his answer after I posted mine, his first answer was different and did not show the work.

Posted

LindaB

Yes, I edited my post but it was before I saw your post. After adding the reply, I looked to see how others had responded to the brain test. That is when I saw that you had the same answer. I put the formula down to show anyone that visited the post, how I got the answer.

Posted

Yes, I edited my post but it was before I saw your post. After adding the reply, I looked to see how others had responded to the brain test. That is when I saw that you had the same answer. I put the formula down to show anyone that visited the post, how I got the answer.

Dan, I think we were working on it at the same time.

Posted

I still think there's something fishy going on..

Later I was trying to think what the rule was---that you could solve for 3 variables if you had 3 equations, I think. I tried to solve again pretending that I didn't knowing the tail was 8 pounds, but just went round and round with the equations. It would only come up with a 'blueprint' for a fish that could be any size, but proportional to this fish.

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