SOLUTION: The owner of a spice shop mixes oregano costing $4.00 per ounce with basil costing $2.40 per ounce. How many ounces of each are needed to produce 8 ounces of a mixture costing $3.0

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The owner of a spice shop mixes oregano costing $4.00 per ounce with basil costing $2.40 per ounce. How many ounces of each are needed to produce 8 ounces of a mixture costing $3.0      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1001958: The owner of a spice shop mixes oregano costing $4.00 per ounce with basil costing $2.40 per ounce. How many ounces of each are needed to produce 8 ounces of a mixture costing $3.00 per ounce?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
B=amount of basil; R=amount of oregano
B+R=8oz
R=8-B
.
($2.40/oz)B+($4.00/oz)R=($3.00/oz)(8 oz)
$2.4B+$4(8-B)=$24
$2.4B+$32-$4B=$24
-$1.6B=-$8
B=5
ANSWER 1: He should use 5 ounces of basil.
.
R=8-B=8-5=3
ANSWER 2: He should use 3 ounces of oregano.
.
CHECK:
($2.40/oz)B+($4.00/oz)R=($3.00/oz)(8 oz)
($2.40/oz)(5 oz)+($4.00/oz)(3 oz)=$24.00
$12.00+$12.00=$24.00
$24.00=$24.00