SOLUTION: At the deli Jennifer bought spicy turkey and provolone cheese. The turkey costs $6.32 per pound and the cheese costs $4.27 per pound. In total, she bought 3.2 pounds and the price

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: At the deli Jennifer bought spicy turkey and provolone cheese. The turkey costs $6.32 per pound and the cheese costs $4.27 per pound. In total, she bought 3.2 pounds and the price       Log On

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Question 956526: At the deli Jennifer bought spicy turkey and provolone cheese. The turkey costs $6.32 per pound and the cheese costs $4.27 per pound. In total, she bought 3.2 pounds and the price was $17.56. How many pounds of each did she buy?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
T=turkey; C=cheese
T+C=3.2lbs
T=3.2lbs-C
$6.32T+$4.27C=$17.56 Substitute for T
$6.32(3.2lbs-C)+$4.27C=$17.56
$20.224-$6.32C+$4.27C=$17.56 Subtract $20.224 from each side.
-$2.05C=-$2.664 Divide each side by -$2.05
C=1.3 ANSWER 1 She bought 1.3 pounds of cheese.
T=3.2lbs-C=3.2lbs-1.3lbs=1.9lbs ANSWER 2: She bought 1.9 pounds of turkey.
$6.32T+$4.27C=$17.56
$6.32(1.9)+$4.27(1.3)=$17.56
$12.01+$5.55=$17.56
$17.56=$17.56