SOLUTION: We have 171 kg rice custing 7 rs/kg.we have rice at 11 rs/kg and 2 rs/kg .then after mixing 11 rs/kg and 2 rs/kg rice. What is quantity of 11 rs/kg rice ..

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: We have 171 kg rice custing 7 rs/kg.we have rice at 11 rs/kg and 2 rs/kg .then after mixing 11 rs/kg and 2 rs/kg rice. What is quantity of 11 rs/kg rice ..      Log On

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Question 344406: We have 171 kg rice custing 7 rs/kg.we have rice at 11 rs/kg and 2 rs/kg .then after mixing 11 rs/kg and 2 rs/kg rice. What is quantity of 11 rs/kg rice ..
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = kg of 11 rs/kg rice needed
Let b = kg of 2 rs/kg rice needed
11a = cost of 11 rs/kg rice
2b = cost of 2 rs/kg rice
7%2A171 = cost of 7 rs/kg rice
given:
(1) a+%2B+b+=+171
11a+%2B+2b+=+7%2A171
(2) 11a+%2B+2b+=+1197
Multiply both sides of (1) by 2
and subtract (1) from (2)
(2) 11a+%2B+2b+=+1197
(1) -2a+-+2b+=+-342
9a+=+855
a+=+95
The quantity of 11 rs/kg rice needed is 95 kg
And, from (1):
a+%2B+b+=+171
95+%2B+b+=+171
b+=+76
check answer:
(2) 11a+%2B+2b+=+1197
(2) 11%2A95+%2B+2%2A76+=+1197
1045+%2B+152+=+1197
1197+=+1197
OK