Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving. If evil bunny has chopped 7 1/2 cups of chopped carrots, how many servings of carrot soup can he make?

Respuesta :

Answer:

12 servings

Step-by-step explanation:

Given:

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving.

If evil bunny has chopped 7 1/2 cups of chopped carrots.

Question asked:

How many servings of carrot soup can he make?

Solution:

By unitary method:

[tex]\frac{5}{8}[/tex] cups of chopped carrots used for = 1 serving of carrot soup

1 cup of chopped carrots used for = [tex]\frac{1}{\frac{5}{8} }[/tex] = [tex]1\div\frac{5}{8} =1\times\frac{8}{5} =\frac{8}{5}[/tex] servings

[tex]7\frac{1}{2}[/tex] cups of chopped carrots used for = [tex]7\frac{1}{2} \times\frac{8}{5} =\frac{7\times2+1}{2} \times\frac{8}{5} =\frac{15}{2} \times\frac{8}{5}=\frac{120}{10} =12[/tex]

Thus, 12 servings of carrot soup could be made.