Mary has twice as many dogs as David has cats and josh has enough animal collars to give a collar to one third of the dogs or to give a collar to all the cats except one. How many collars does josh have?

Question

Mathematics

Amelie Roberson

28 December, 13:42

Mary has twice as many dogs as David has cats and josh has enough animal collars to give a collar to one third of the dogs or to give a collar to all the cats except one. How many collars does josh have?

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Answers (1)

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Matthias Mercer · Answer 1

D = 2C

J = 1/3D

J = C - 1

J = 1/3D

J = 1/3 (2C)

J = 2/3C

2/3C = C - 1

2/3C - 3/3C = - 1

-1/3C = - 1

C = - 1 * - 3

C = 3 ... there are 3 cats

J = C - 1

J = 3 - 1

J = 2 ... there are 2 collars