interpret data, the human body is about two-thirds water. muscles are three-fourths water, and bones are abou?

Question

t one-fourth water. in a 150 pound man,about how much more do the muscles weigh than the bones?

Answer 1

Tough one!!!

You have to make the assumption that the body is ONLY muscle and bone.

Then you can set up 2 equations, with 2 unknowns....

m is the weight in pounds of muscle
b is the weight in pounds of bone

m+b=150 the total weight of the man

(2/3 of that total weight is water, or 100 pounds.... so...)

(3/4)m + (1/4)b = 100 because 3/4 of the muscle and 1/4 of the bone is water. and the total water adds up to 100 pounds.

now solve for b in the 1st equation. b = 150-m

and substitute that (150-m) for b in the 2nd equation...

(3/4)m + (1/4)(150-m) = 100

now multiply the 1/4 by the term in ( )

(3/4)m + 37.5 - (1/4)m = 100

combine like terms

(2/4)m + 37.5 = 100

subtract 37.5 from both sides and simplify the fraction 2/4=1/2

(1/2)m = 62.5

multiply both sides by 2

m=125 pounds

b = 150 - m
so.... b = 25 pounds

now, checking to see if that works....

yes, b + m = 150, and
(2/3) x150 = (3/4) x 125 + (1/4) x 25

100 = 93.75 + 6.25 YESSSSS! YAY! it works!

hope that helps!

(of course the answer is that the muscles weigh (125-25) or 100 pounds more than the bones.)

Answer 2

2/5 of the body wieght

Answer 3

look it up!