SOLUTION: Jim is 6 years older than Pam. Two years ago Jim was twice as old as Pam. How old is each now? Milk that has 5% butterfat is mixed with milk that has 2% butterfat. How much o

Algebra ->  Expressions-with-variables -> SOLUTION: Jim is 6 years older than Pam. Two years ago Jim was twice as old as Pam. How old is each now? Milk that has 5% butterfat is mixed with milk that has 2% butterfat. How much o      Log On


   

Question 174583: Jim is 6 years older than Pam. Two years ago Jim was twice as old as Pam. How old is each now?

Milk that has 5% butterfat is mixed with milk that has 2% butterfat. How much of each is needed to obtain 60 gallons of milk that has 3% butterfar?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
1. lets call jim and pam's ages, j and p, respectively
:
j=p+6........eq 1
j-2=2(p-2)...eq 2
:
take j's value of p+6 from eq 1 and plug it into eq 2
:
p+6-2=2p-4
:
p+4=2p-4
:
pams age ishighlight%28p=8%29years olds
:
jim's age ishighlight%28j=p%2B6=8%2B6=14%29years old
:
:
2)lets call x and y the number of gallons of 5% and 2% milk needed
:
.05x+.02y=.03(60)
:
x+y=60---->y=60-x......now plug that value in for y
:
.05x+.02(60-x)=1.8
:
.05x+1.2-.02x=1.8
:
.03x=.6
:
highlight%28x=20%29gallons of 5% milk
:
highlight%28y=60-20=40%29gallons of 2% milk