Question :
A milkman has two type of milk in the 1 st container the % of milk is 80% and in the 2 nd container the percentage of milk is 60% .If the mixes 28 liters of the milk of first container to the 32 liter of milk of the 2 nd container,then the % of milk in the mixture is:
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Answer:
Since, 29 liter of milk solution having 80 % of milk is mixed with the 32 liters of milk having 60 % of milk,
Thus, the total quantity of mixture = 29 + 32 = 61 liters,
Also, The milk in resultant solution = The quantity of milk in 80 % of milk solution + The quantity of milk in 60 % of milk solution
= 80 % of 29 + 60% of 32
=\frac{80\times 29}{100}+\frac{60\times 32}{100}=
100
80×29
+
100
60×32
=\frac{2320}{100}+\frac{1920}{100}=
100
2320
+
100
1920
=\frac{4240}{100}=42.40\text{ liters}=
100
4240
=42.40 liters
Thus, the percentage of milk in resultant milk solution = \frac{42.40}{61}\times 100
61
42.40
×100
=\frac{4240}{61}=69.5081967\approx 69.51\%=
61
4240
=69.5081967≈69.51%
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