SOLUTION: to make a certain drink, you need to mix 200ml of concentrate with 1,2l of water. determine the ratio of concentrate to water.how much you need if you have to make up a total of 14

Question 955501: to make a certain drink, you need to mix 200ml of concentrate with 1,2l of water. determine the ratio of concentrate to water.how much you need if you have to make up a total of 14l of this drink

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

= 1,2 l
The ratio of concentrate to water is
,
meaning part of concentrate to parts of water.

In this problem (and in many that look like this one),
volumes are additive, so mixing concentrate and water
yields of the mixture.
So, to make of the mixture you need concentrate,
a concentrate to mix ratio of ,
and you need water,
for a water to mix ratio of .
So, to make of the drink mixture you need
of water.
That was obvious,
because you could make drink mixture
by mixing concentrate and water,
so to make , which is times as much
you would need to mix
concentrate and
of water.

NOTES:
I prefer using for liter; I think it is customary for chemists like me, Maybe it is required for chemists, but I do not remember exactly why I do it.
Also, I currently live in the USA, so I use a decimal dot instead of a decimal comma,
and when I say a billion I mean a 1 followed by 9 zeros, which I write in groups of 3 zeros, separates by commas, as in .
Other countries use a decimal dot, and when they mean 1 billion, they write a 1 followed by 12 zeros, which they write in groups of 3 zeros, separates by dots, as in .
Sadly, math is not yet universal.

In real life, volumes mixed are not exactly additive (as a chemical engineering professor would tell you),
but it is usually close enough for everyday purposes,
and I bet your math teacher is not a chemical engineer anyway,
and does not know that volumes could change on mixing.

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