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Question

10 litres of blue paint and 15 litres of white paint are mixed in one can; 12 litres of blue and 17 litres of white are mixed in another. Will the shades of blue in the two cans be the same? Why?

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Solution

Total volume of blue paint mixed in the first can = 10 L

Total volume of white paint mixed in the first can = 15 L

Total volume of paints in the first can = 10 L + 15 L = 25 L

Total volume of blue paint mixed in the second can = 12 L

Total volume of white paint mixed in the second can = 17 L

Total volume of paints in the second can = 12 L + 17 L = 29 L

Ratio of the volume of blue paint in first can to the total volume of paints in the first can

Ratio of the volume of blue paint in second can to the total volume of paints in the second can

Since the ratio of the volume of blue paint to the total volume of paints in the first can is not equal to the ratio of the volume of blue paint to the total volume of paints in the second can, the shades of blue in the two cans are not same.

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