SOLUTION: A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.30 per pound. How many pounds of each should he us

Question 958086: A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.30 per pound. How many pounds of each should he use?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
J=jelly beans; P=peanuts
P+J=30 lbs
P=30lbs-J
$3.00P+$1.50J=$2.30(30lbs) Substitute for P.
$3.00(30lbs-J)+$1.50J=$69
$90-$3.00J+$1.50=$69 Subtract $90 from each side.
-$1.50J=-$21 Divide each side by $1.50
J=14 ANSWER 1: He should use 14 pounds of jelly beans.
P=30lbs-J=30-14=16 lbs ANSWER 2: He should use 16 pounds of peanuts.
CHECK:
$3.00P+$1.50J=$2.30(30lbs)
$3.00(16)+$1.50(14)=$2.30(30lbs)
$48+$21=$69
$69=$69
RELATED QUESTIONS
a merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound (answered by ptaylor)

A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound (answered by Alan3354)

Use two equations in two variables to solve the application. See Example 6. (Objective 1) (answered by josgarithmetic)

Use two equations in two variables to solve the application. A merchant wants to mix... (answered by Alan3354,josgarithmetic)

Use two equations in two variables to solve the application. See Example 6. (Objective 1) (answered by ikleyn)

Hi, im stuck on this problem : A merchant wants to mix peanuts worth $3 per pound... (answered by Alan3354,lwsshak3)

A merchant wants to mix gummy worms worth $3 per pound and gummy bears worth $1.5 per... (answered by checkley75)

bob wants to mix 20 pounds of peanuts worth $3 a pound with cashews worth $5 a pound to... (answered by josmiceli)

A grocer wants to mix peanuts worth $2.50 per pound with 12 pounds of cashews worth $4.75 (answered by sofiyac,mananth)