SOLUTION: a cup of skim milk has 10 more than half the calories of a cup of whole milk. a cup of whole milk has 40 more calories than a glass of apple juice. If someone consumed a cup of eac

Algebra ->  Finance -> SOLUTION: a cup of skim milk has 10 more than half the calories of a cup of whole milk. a cup of whole milk has 40 more calories than a glass of apple juice. If someone consumed a cup of eac      Log On


   



Question 926931: a cup of skim milk has 10 more than half the calories of a cup of whole milk. a cup of whole milk has 40 more calories than a glass of apple juice. If someone consumed a cup of each of the three, they would have 370 calories. how many calories must be in each?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
1) s= w/2+10
2) w=a+40 (or a=w-40)
3) a+s+w=370

rewriting 3)...

%28w-40%29%2B%28w%2F2%2B10%29%2Bw=370

%285%2F2%29w=400

w=160
then we find the others:
s=160%2F2%2B10=90
a=160-40-120