19. A mixture consists of 45%5/11 sand, 36%4/11 gravel and rest cement. Find the weight of mixture which contains 12.5 kg wt of sand. Also determine the weight of mixture that will contain 4 kg wt of cement.
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Answer:
27.5 and 22 kg
Step-by-step explanation:
Let the mixture be 100%
Quantity of sand in the mixture = 500/11 %
Quantity of gravel in the mixture = 400/11%
Quantity of cement in the mixture =
100% - 500/11% - 400/11%
=> 200/11%
Let X kg of mixture contain 12.5 kg sand
But 100% mixture contains 500/11% of sand
=> x/100 = 12.5/500
=> x = 12.5 × 100 / 500 × 11
=> x= 2.5 × 11
=> 27.5 kg
Let y kg of mixture contain 4kg cement
But 100% of mixture contains 200/11%
=> y/100% = 4/200/11%/
=> y = 22kg
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