Problema Solution

A family of kittens likes to climb our fruit trees. If one kitten climbs on each tree, there is one kitten without a tree. If two kittens climb on each tree, there is one unoccupied tree. How many kittens and how many trees are there?

Answer provided by our tutors

let


k = the number of kittens

t = the number of trees


If one kitten climbs on each tree, there is one kitten without a tree


t + 1 = k


If two kittens climb on each tree, there is one unoccupied tree


k/2 + 1 = t


by solving the system of equations


t + 1 = k

k/2 + 1 = t


we find


k = 4 kittens


t = 3 trees


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there are 4 kittens and 3 trees.