1. ## Ratio Problem

Hey guys, any help you can provide for this question here would be super.

A punch recipe calls for fruit juice, ginger ale and vodka to be mixed in the ratio 6:2.5:1. How much fruit juice and vodka should be mixed with a 2 litre bottle of ginger ale?

2. Originally Posted by Chris895
Hey guys, any help you can provide for this question here would be super.

A punch recipe calls for fruit juice, ginger ale and vodka to be mixed in the ratio 6:2.5:1. How much fruit juice and vodka should be mixed with a 2 litre bottle of ginger ale?
Juice:Ginger:Vodka
6 : 2,5 : 1

Juice:Ginger:Vodka
x : 2 : y

Handle each ratio seperately.

The ratio between Juice and Ginger is 6: 2,5

So:

$\displaystyle \frac{6}{x} = \frac{2,5}{2}$

Solve for $\displaystyle x$

$\displaystyle x$ = 4,8

Juice = 4,8 units

The Juice to Vodka ratio is 6:1 [You could also have used the 2,5:1 Ginger:Vodka ratio]

Solve using the same method as above.

$\displaystyle y$ = 0,8

So then Vodka = 0,8 units

3. Hello, Chris895!

A punch recipe calls for fruit juice, ginger ale and vodka to be mixed in the ratio $\displaystyle 6 : 2.5 : 1$
How much fruit juice and vodka should be mixed with a 2-litre bottle of ginger ale?

The ratio is: .$\displaystyle F:G:V \:=\:6a:2.5a:a$ . for some constant $\displaystyle a.$

We are told that: .$\displaystyle G \:=\:2.5a \:=\:2$ litres.

. . Hence: .$\displaystyle a \:=\:0.8$

Therefore: .$\displaystyle F \:= \:6a \: = \:6(0.8) \:=\:4.8$ litres
. . . . . . . . $\displaystyle V \:=\:a\;=\;0.8$ litres.

4. Thanks guys!