Math homework help ASAP?! ?

Question

How much does a fish weigh if its tail weighs 4 kilograms, its head weighs as much as its tail and half its body, and its body weighs as much as its head and tail together.

EASIER-

Tail- 4 kilograms

Head- Tail and half its body

Body- Head and tail together

Please help? And if you could, please add how you figured out the problem. THANKS

Answer 1

t= tail

h=head

b=body

t=4

h= t + 1/2 b

b = h+t

h=4 + 1/2b

b=h+4

h=4+1/2b

-h=-b+4 -->just rearranged it

Adding the two equations...



-1/2 b+8=0

1/2 b = 8

b = 16

Since b = h+ t and b=16 and t=4 then

16 = 4 + h

So h = 12

Adding b+h+t to get the total weight, the answer is 12 + 16+4 = 32 kg.

Answer 2

I can't figure this out.  I'm working it out on paper but i can't seem to get an answer that works.

*I showed the same work as the guy below me but I don't think the answer is 32 kgs because you added the tail + head + body and i think that the body is supposed to = head + tail but we're on the right track.

I see the mistake I made...the third guy is right.  It's 16 kgs.

Answer 3

Use basic algebra to get the answer:

T = 4kg

H = 4kg + 1/2B

B = H + T

Substitute the known values into the equation

B = 4kg + 4kg + 1/2B

Move the unknown values to the same side of the equation by subtracting 1/2 B From each side

B - 1/2 B = 4kg + 4kg + 1/2 B -1/2B

Simplify

1/2B = 8kg

Multiply by 2 to get rid of the fraction:

2(1/2B) = 2(8kg)

B = 16kg