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Asked by Toh

# The average mass of 3 durians and 2 mangoes is 2.2kg. The average mass of 4 durians and 6 mangoes have the same mass. Assume that all mangoes have the same mass and all durians have the same. What is the total mass of 5 durians and 19 mangoes?

What we know: 3 durians + 2 mangoes = 2.2kg Mass of 4 durians = mass of 6 mangoes Divide each side by 4: Mass of 1 durians = mass of 1.5 mangoes Now we can insert 1.5 mangoes in the place of 1 durian in the first equation: 3 durians + 2 mangoes = 2.2kg 4.5 mangoes + 2 mangoes = 2.2kg 6.5 mangoes = 2.2kg 1 mango ≈ 0.334 kg 1 durian ≈ 0.334kg * 2/3 = 0.226kg 5* 0.226kg + 19*0.334kg = 7.47kg Eva Töx
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