Ghalib loves making a special soda drink. He fills 1/3 of the container with orange soda. He fills the remaining space with 4 cups of lemon-lime soda.

How many pints of his special soda drink did Ghalib make?

Respuesta :

1/3 is orange that leaves 2/3 left

2/3 X = 4 cups

x= 4 * 3/2

x= 6 cups  

the container is 6 cups

2 cup = 1 pints

6 cups * 1 pints/2 cups = 3 pints

He made 3 pints of his special soda


Answer:

Ghazib made 3 pints of special soda.

Step-by-step explanation:

Let x represent volume of container.

We have been given that Ghazib fills 1/3 of the container with orange soda. He fills the remaining space with 4 cups of lemon-lime soda.

The part of container filled by lemon-lime soda would be [tex]x-\frac{1}{3}x=\frac{2}{3}x[/tex]

2/3 part of container is filled by 4 cups, so we can set an equation as:

[tex]\frac{2}{3}x=4[/tex]

[tex]\frac{3}{2}\times \frac{2}{3}x=\frac{3}{2}\times 4[/tex]

[tex]x=3\times 2[/tex]

[tex]x=6[/tex]

Therefore, Ghazib made 6 cups of special soda.

Now we will convert cups to pints.

1 cup = 0.5 pints

[tex]\text{6 cups}=6\times 0.5\text{ pints}=3\text{ pints}[/tex]

Therefore, Ghazib made 3 pints of special soda.