# Ratio Problem

• Dec 6th 2007, 04:41 AM
Chris895
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?
• Dec 6th 2007, 04:51 AM
janvdl
Quote:

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:

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

Solve for $x$

$x$ = 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.

$y$ = 0,8

So then Vodka = 0,8 units
• Dec 6th 2007, 05:54 AM
Soroban
Hello, Chris895!

Quote:

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?

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

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

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

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

• Dec 6th 2007, 11:34 AM
Chris895
Thanks guys!