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.