Question
Three bottles of the same size are filled with mixture
of orange squash and water in the ratio 2:3, 3:4 and 4:5. They are emptied into a big jug. Find the proportion of orange squash and water in it.Solution
Assume each bottle has a volume equal to the sum of the ratio parts for easy calculation. Let the volume of each bottle be LCM of (2+3=5, 3+4=7, 4+5=9) = 315 units. Bottle 1 (2:3): Squash = (2/5)*315 = 126, Water = (3/5)*315 = 189 Bottle 2 (3:4): Squash = (3/7)*315 = 135, Water = (4/7)*315 = 180 Bottle 3 (4:5): Squash = (4/9)*315 = 140, Water = (5/9)*315 = 175 Total Squash = 126 + 135 + 140 = 401 Total Water = 189 + 180 + 175 = 544 So, the ratio is 401 : 544.
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