Inversion Problems (Finding the Number Given the Result)
how many kilo...
Question
how many kilos of tea worth rs 72 per kg should be mixed with 10 kg of tea worth rs 90 per kg to produce a mixture which will cost rs 78 per kg
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Solution
Price. Quantity Tea type I 90 ----------------10 kg Tea type II 72 ----------------x kg Mixture 78 ---------------- 10+x kg
sum of individual components = quantity in mixture 90*10+72x=78(10 +x) 900+72x =780+78 x 72x -78 x=-120 -6x=-120 x= -120 / -6 x= 20 20 kg of Tea type II costing Rs. 72 has to be added