SOLUTION: The ratio of milk:water in two vessels is 4:3 and 9:1 respectively. what ratio of contents of the two vessels should be mixed so that ratio of milk:water in resulting mixture is 3:

Question 793779: The ratio of milk:water in two vessels is 4:3 and 9:1 respectively. what ratio of contents of the two vessels should be mixed so that ratio of milk:water in resulting mixture is 3:2?
Options: a)13:3 b)21:2 c)19:7 d)11:2
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Best to view this as a mixture problem and focus on the concentration of milk in the two vessels. Do as normal fractions if this is most comfortable.
vessel, 4/7 milk.
vessel other, 9/10 milk.
Want 3/5 milk.

We do not yet know how much from the 4/7 vessel nor from the 9/10 vessel, but we can assume any number of parts total in the final mixture.

Try this:
x parts of the 4/7 milk
y parts of the 9/10 milk
parts, chosen because of denominators 7 and 10.

Accounting for concentration of milk,

Simplify this rational equation so it is in a neater linear equation format. This and the 700 Sum equation will be your system to solve for x and y.

----------------------------------------------

---------one equation for the system
Try substituting with y=700-x.

I'm getting very close to 639, but may have a mistake somewhere.
,
Seems very near to choice (b).
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