Question 89579: x kilo of coffee worth P100 per kilo is mixed with coffee worth P90.00 per kilo to produce 200 kg of coffee worth P95 per kilo. Find x.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! x kilo of coffee worth P100 per kilo is mixed with coffee worth P90.00 per kilo to produce 200 kg of coffee worth P95 per kilo. Find x.
:
Just looking at the problem, it is apparent that it would be half and half but here is a universal method, for this type of problem:
:
Given that x = P100 coffee amt, and the resulting amt is 200 kg, we can say:
(200-x) = P90 coffee amt
:
100x + 90(200-x) = 95(200)
100x + 18000 - 90x = 19000
100x - 90x = 19000 - 18000
10x = 1000
x = 1000/10
x = 100kg of P100 coffee
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Check:
100(100) + 90(100) = 19000
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