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vampirchik [111]
2 years ago
13

An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, 1/3 are cats. Three four

ths of the remaining animals are dogs. How many of the animals are rabbits? Show your work.
Mathematics
1 answer:
navik [9.2K]2 years ago
7 0

Answer:

21 rabbits

Step-by-step explanation:

⇒ <u><em>Given:</em></u>

<em>There are 126 animals at the shelter. </em>

<em>Of the animals, 1/3 are cats. </em>

<em>Three fourths of the remaining animals are dogs.</em>

<u><em>To Find:</em></u>

<em>How many of the animals are rabbits? Show your work.</em>

<u><em>Solve:</em></u>

<em>Since 1/3 are cats and the total is 126.</em>

<em>Then, 1/3 of 126 is 42.          {1/3 × 126 = 42}</em>

<em>Therefore,  there are 42 cats. </em>

<em>3/4 of the remaining animals, which is 84 are dogs. </em>

<em>Which 3/4 of 84 is 63.     { 3/4 ×  84 = 63 }</em>

<em> So there are 63 dogs. </em>

<em>Now adding dogs and cats together:</em>

<em>63 + 42 =  105 animals.</em>

<em>126 {Total} - 105{cat and cats} = 21 {rabbits}</em>

<em>Hence, there are 21 rabbits.</em>

<em />

<u><em>Kavinsky</em></u>

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