The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. a mixture comprising of equal quantities of all 3 samples is made. the proportion of milk and water in the mixture is
Answers
Answered by
6
quantity of samples2+1=3;3+2=5;5+3=8
lcm of 3,5,8=120
make all the quality equal to 120
sample 1=> 3*40=120
2*40:1*40
80:40
sample 2=> 5*24=120
3*24:2*24
72:48
sample 3=>8*15=120
5*15:3*15
75:45
add all the sample
80+75+72 : 45+48+40
ans= 227 : 132
lcm of 3,5,8=120
make all the quality equal to 120
sample 1=> 3*40=120
2*40:1*40
80:40
sample 2=> 5*24=120
3*24:2*24
72:48
sample 3=>8*15=120
5*15:3*15
75:45
add all the sample
80+75+72 : 45+48+40
ans= 227 : 132
Answered by
1
Step-by-step explanation:
Suppose
x
litre of each sample is taken and mixed.
Quantity of milk taken from first sample =
2
x
3
Quantity of milk taken from second sample =
3
x
5
Quantity of milk taken from third sample =
5
x
8
Quantity of milk in the mixture
=
2
x
3
+
3
x
5
+
5
x
8
=
80
x
+
72
x
+
75
x
120
=
227
x
120
Total quantity of mixture =
x
+
x
+
x
=
3
x
Quantity of water in the mixture
=
3
x
−
227
x
120
=
133
x
120
Required proportion
=
227
x
120
:
133
x
120
=
227
:
133
Note:
x
litre is used in the solution explained above. we can ignore
x
and do it by assuming "1 litre is taken from each sample and mixed for simplicity". Or use some quantity like 120 litre as explained below to avoid fractions
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