Goldie was given 2 1/3 cups of food. She ate 3/4 of her meal. If there were 10 cups of food in the bag to start with, how much food did she have left?

Respuesta :

Answer:

8.25 cups of food

Step-by-step explanation:

Goldie was given 2 1/3 cups of food.

In other words, Goldie had [tex]2 +\frac{1}{3} = \frac{7}{3} = 2.333[/tex].

[tex]\frac{3}{4}[/tex] of your meal is [tex]\frac{3}{4}(\frac{7}{3})[/tex]

If he ate [tex]\frac{3}{4}[/tex] of his food, then he consumed

[tex]\frac{3}{4}*(\frac{7}{3}) = \frac{7}{4}[/tex] cups

At first there were 10 cups of food in the bag, but goldie consumed [tex]\frac{7}{4}[/tex] cups. Therefore, they remain in the bag:

[tex]10 - \frac{7}{4} = \frac{33}{4} = 8.25[/tex] cups of food