Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale. To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale. How many ounces are in each container of ginger ale?

Respuesta :

Given:

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale.

To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale.

To find:

The number of ounces in each container of ginger ale.

Solution:

Let n be the number of ounces in each container of ginger ale.

According to the question, the ratio of fruit juice and ginger ale is 2:5. it means,

[tex]\dfrac{\text{Fruit juice}}{\text{Ginger}}=\dfrac{2}{5}[/tex]

[tex]\dfrac{18}{\text{Ginger}}=\dfrac{2}{5}[/tex]

[tex]5\times 18=2\times \text{Ginger}[/tex]

[tex]90=2\times \text{Ginger}[/tex]

Divide both sides by 2.

[tex]45=\text{Ginger}[/tex]

So, ginger required for punch is 45 ounces.

Number of containers = 3

Number of ounces in each container of ginger ale = n

Number of ounces in 3 containers of ginger ale = 3n

Now,

[tex]3n=45[/tex]

Divide both sides by 3.

[tex]n=15[/tex]

Therefore, 15 ounces are in each container of ginger ale.