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

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) (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 isyears olds
:
jim's age isyears 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
:
gallons of 5% milk
:
gallons of 2% milk
RELATED QUESTIONS
Pam is eight years younger than Jim. In one year Jim will be three times as old as Pam... (answered by josmiceli)

In 5 years� time Pam will be twice as old as Sam was two years ago. Pam is 8 years older... (answered by lwsshak3)

Pam is half as old as her brother Bill. Four years ago Bill was six times older than Pam. (answered by mananth,jsmallt9)

Sam is now 14 years older than Pam. If in 10 years Sam will be twice as old as Pam, how... (answered by Alan3354)

Pam is 1/2 as old as her brother Bill. 8 years ago Bill was 10 times older than Pam. How... (answered by nerdybill)

Jim is x years old. Mike is 2 years older than Jim. 8 years ago, Mike was twice as old... (answered by jennywecas,stanbon)

Pam is half as old as her brother Bill. Eight years ago Bill was six times as old as Pam. (answered by ankor@dixie-net.com)

Jim is twice as old as Karen. Eight years from now, Jim will be twenty years older than... (answered by jorel1380)