The gardener

The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?

Correct result:

n =  16

Solution:

$$\begin{gathered} 960=cn \\ (c-12)\cdot (n+4)=960 \\ {c}_1=60 \\ {n}_1=16 \\ {c}_2=-48 \\ {n}_2=-20 \\ n>0 \\ n=n_1=16 \end{gathered}$$

The equations have the following integer solutions:

960 = c*n
(c-12)*(n+4)=960
n>0

Number of solutions found: 1

c₁=60, n₁=16

Calculated by our Diofant problems and integer equations.

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