A mixture of milk and water is such that milk is 3/5 th of the water. What is the proportion of milk in the
mixture ?
(a) ½ (b) 1/5 (c) 3/5 (d) 3/8 (e) 5/8
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let the water be x
then milk =3x/5
mixture=water+milk
= x+3x/5
=(5x+3x)/5
=8x/5
proportion of milk in mixture=milk/mixture
=(3x/5)/(8x/5)
=(3x/5)×(5/8x) [reciprocal]
=(3x/1)×(1/8x)
=3x/8x
=3/8
(d.3/8) is the answer.
then milk =3x/5
mixture=water+milk
= x+3x/5
=(5x+3x)/5
=8x/5
proportion of milk in mixture=milk/mixture
=(3x/5)/(8x/5)
=(3x/5)×(5/8x) [reciprocal]
=(3x/1)×(1/8x)
=3x/8x
=3/8
(d.3/8) is the answer.
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