A certain shade of indigo color is obtained by mixing 2 parts of white color with 3 parts of blue color. If 8 kg of the mixture(indigo color) is needed and the individual colors can be purchased only in 2 kg cans worth Rs.80,then what is the least amount of color in kg's that must be purchased for the mixture? And how much rupees spend to purchase the blue color cans?
6 kg & Rs.480
10 kg & Rs.400
10 kg & Rs.800
6 kg & Rs.320
Since the indigo color is obtained by mixing 2 parts of white color with 3 parts of blue color.
i.e., 2 parts of white color and 3 parts of blue color, that means totally there are 5 parts.
Then, 2/5 of the indigo color is white and 3/5 is blue color.
Given that, 8kg of the mixture is needed.
So 2/5 of 8kg = 2 x 8/5 = 3.2 kg is white color
Likewise 3/5 of 8kg = 3 x 8/5 = 4.8 kg is blue color.
Since the individual colors (white and red) can be purchased only in 2-kg cans.
i.e., 3.2 kg needs to be rounded up to 4 kg.
And 4.8 kg needs to be rounded up to 6 kg.
Then the required least amount of colors = 4kg + 6kg = 10kg or 5 cans (2 cans of white + 3 cans of blue)
Since each can of 2 kg color worth Rs.80. Total cost for 5 cans = 5 x 80 = Rs. 400
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