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larisa [96]
3 years ago
12

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 carr

ots, how many servings of carrot soup can he make?
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

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:

<u><em>By unitary method:</em></u>

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

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

7\frac{1}{2} cups of chopped carrots used for = 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

Thus, 12 servings of carrot soup could be made.

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Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

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where

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In this case

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Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

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