SOLUTION: There are three types of liquids in a beverage of 700 litres. The ratio of measurement of the first and second liquid is 2:3 and the ratio of measurement of second and third is 4:5
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Question 980127: There are three types of liquids in a beverage of 700 litres. The ratio of measurement of the first and second liquid is 2:3 and the ratio of measurement of second and third is 4:5. Let's workout the ratio in which the first and the second liquid will be mixed so that the ratio of measurement of the three liquids become 6:5:3 in the same beverage.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I picture these liquids in the same container,
but I am able to separate them from eachother
and recombine them in different amounts
-----------------
Let = liters of 1st liquid originally
Let = liters of 2nd liquid originally
Let = liters of 3rd liquid originally
------------------------------------
(1)
(2)
(3)
-------------------
It sounds like is going to stay the sme
and also will stay the same
The new and is and
-----------------------------------------------
(4)
(5)
(6)
---------------------------
(2)
(3)
--------------------
Substitute (3) into (2)
(2)
--------------------
(1) (8/15)*c + (4/5)*c + c = 700 }}}
(1)
(1)
(1)
(1)
and
(3)
(3)
(3)
and
(2)
(2)
(2)
check:
(1)
(1)
(1)
OK
---------
(4)
(4)
(4)
and
(5)
(5)
Plug this result into (4)
(4)
(4)
(4)
(4)
and
(5)
(5)
(5)
check:
(4)
(4)
(4)
OK
check:
(6)
(6)
(6)
OK
---------
Finally:
OK
So, the amounts of the new and are:
218.1818 liters and 181.8182 liters
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