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What is the ratio of 3 kinds of wheat costing ₹1.20 per kg, ₹1.44 per kg and ₹1.74 per kg. so that the mixture may be worth ₹1.41 per kg?
2 Answers
- ?Lv 72 months ago
Observe that 1.41 is just a bit less than 1.44, so, a mix of 1.41 can be made by adding a little of 1.20 to the 1.44 type; however, let us assume that there are other reasons to include the more expensive 1.74 type.
100*1.74 = 174
100*1.44 = 144
1.41*(200 + n) = 318 + 1.2n
0.21n = 36, n ~ 171.4
So one of the myriad of ratios possible could be
171.4 at ₹1.20 per kg : 100 at ₹1.44 per kg : 100 at ₹1.74 per kg
- ?Lv 72 months ago
There is no single answer to this question. A mixture of the 1.74 and the 1.20 varieties could be made to cost 1.41 per kg, if mixed in the ratio 21:33. A mixture of the 1.44 and 1.20 varieties could be made to cost 1.41 per kg if mixed in the ratio 21:3. If all three kinds are used, there are an infinite number of ways of doing it.