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Three Types Of Tea The A, B, C Costs Rs. 95/kg, 100/kg And70/kg Respectively. How Many Kgs Of Each Should Be Blended To Produce 100 Kg Of Mixture Worth Rs.90/kg, Given That The Quantities Of B And C Are Equal? |
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Answer» Let the quantity of tea a = x Let the quantity of tea b = y Let the quantity of tea c = z Given : y = z ...... (i) x + y + z = 100 ....... (ii) Cost of Mixture = (Sum of Cost of INDIVIDUAL ITEMS in a mixture / TOTAL quantity of mixture) 90 = (95x + 100y + 70z) / (x + y + z) 90x + 90y + 90z = 95x + 100y + 70z 5x + 10y = 20z 5x = 20Y - 10y = 10y............................... (from Eq. (i), y =z ) x = 2y .................... (iii) From Equation (i), (ii) & (iii) x + y + z = 100 2y + y + y = 100 4y = 100 y = 25 Let the quantity of tea a = x Let the quantity of tea b = y Let the quantity of tea c = z Given : y = z ...... (i) x + y + z = 100 ....... (ii) Cost of Mixture = (Sum of Cost of individual items in a mixture / total quantity of mixture) 90 = (95x + 100y + 70z) / (x + y + z) 90x + 90y + 90z = 95x + 100y + 70z 5x + 10y = 20z 5x = 20y - 10y = 10y............................... (from Eq. (i), y =z ) x = 2y .................... (iii) From Equation (i), (ii) & (iii) x + y + z = 100 2y + y + y = 100 4y = 100 y = 25 |
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