SOLUTION: Sliced turkey cost $3.20 per pound. Roast beef cost twice as much, & ground beef cost half as much as the turkey. Find the price of 7.5 pounds of ground beef.
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Question 40405: Sliced turkey cost $3.20 per pound. Roast beef cost twice as much, & ground beef cost half as much as the turkey. Find the price of 7.5 pounds of ground beef.
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A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Brazilian coffee should be used to make 300kg of the mixture? ____________kilograms
Thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Sliced turkey cost $3.20 per pound.
ground beef cost half as much as the turkey.
Find the price of 7.5 pounds of ground beef.
$3.20 per pound / 2 = $1.60 / pound
(1.60 / lb)*(7.5 lb) = $12
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Let x = kg of Brazilian coffee in mixture
Let y = kg of Turkish coffee in mixture
($5/kg)*(x kg) + ($8/kg)*(y kg) = ($7/ kg)*(300 kg)
x kg + y kg = 300 kg
leaving out the units,
5x + 8y = 2100
x + y = 300
multiply 2nd equation by 5 and subtract from 1st
5x + 8y = 2100
-5x -5y = -1500
3y = 600
y = 200
x = 300 - y
x = 100
So, 100 kg of the Brazilian coffee should be used
check:
5x + 8y = 2100
5*100 + 8*200 = 2100
500 + 1600 = 2100
2100 = 2100
x + y = 300
100 + 200 = 300
300 = 300
OK
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