SOLUTION: A light brew coffee sells for $12 per pound is to be mixed with a dark brew coffee that sells for $9 per pound to get a 5-pound mixture that will sell for $10 per pound. How many p

Question 964882: A light brew coffee sells for $12 per pound is to be mixed with a dark brew coffee that sells for $9 per pound to get a 5-pound mixture that will sell for $10 per pound. How many pounds of light brew and dark brew coffee should be used?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
T=amount of $12 coffee; N=amount of $9 coffee.
N+T=5lbs
N=5lbs-T Use this to substitute for N
$9N+$12T=$10(5lbs) Substitute for N from above.
$9(5lbs-T)+$12T=$50lbs
$45lbs-$9T+$12T=$50lbs Subtract $45lbs from each side.
$3T=$5lbs Divide each side by $3.
T=5/3 lbs ANSWER 1:5/3 lbs of light brew ($12) coffee should be used.
N=5lbs-T=5lbs-5/3lbs=10/3 lbs ANSWER 10/3 lbs of dark brew ($9) should be used.
.
CHECK:
.
$9N+$12T=$10(5lbs)
$9(10/3)+$12(5/3)=$10(5lbs)
$90/3+$60/3=$50
$30+$20=$50
$50=$50

RELATED QUESTIONS
a coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of... (answered by josmiceli)

U Brew blends a Colombian coffee worth $0.93 per pound with Kenyan coffee worth $1.20 per (answered by richwmiller)

U Brew blends Colombian coffee worth $0.93 per pound with Kenyan coffee worth $1.20 per... (answered by richwmiller)

A coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of... (answered by Nate,ankor@dixie-net.com)

A coffee house has 20 pounds of a coffee that sells for $4 per lbs. How many pounds of... (answered by josgarithmetic,richwmiller)

A coffee shop owner blends gourmet coffee brand with a cheaper brand. The gourmet coffee... (answered by mananth)

African Gold coffee sells for $12 per pound and Peruvian Dark sells for $8 per pound. How (answered by stanbon)

Jackie has coffee that sells for $9 per pound and coffee that sells for $4 per pound.... (answered by funmath)

a supermarket mixes coffee that sells for $3.60 per pond with coffee that sells for $7.20 (answered by greenestamps)