SOLUTION: A grocer mixed two varieties of tea, one that cost $3 per kg with another that cost $4 per kg. How many kg's of each should be used to make a 30 kg blend to sell for $3.40 per kg.

SOLUTION: A grocer mixed two varieties of tea, one that cost $3 per kg with another that cost $4 per kg. How many kg's of each should be used to make a 30 kg blend to sell for $3.40 per kg.

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Question 186247: A grocer mixed two varieties of tea, one that cost $3 per kg with another that cost $4 per kg. How many kg's of each should be used to make a 30 kg blend to sell for $3.40 per kg.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
4X+3(30-X)=3.40*30
4X+90-3X=102
X=102-90
X=12 KG. OF $4.00 TEA IS USED.
30-12=18 KG. OF $ 3.00 TEA IS USED.
pROOF:
4*12+3(30-12)=3.40*30
48+3*18=102
48+54=102
102=102
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