SOLUTION
Write out the given information
[tex]\begin{gathered} \text{Total shoes=50} \\ \text{Addidas cost=\$400} \\ \text{Rebook cost=\$450} \\ \text{Amount to spend=\$30 000} \end{gathered}[/tex]Hence
Let define the unknow parameters
[tex]\begin{gathered} x=\text{number of rebook} \\ y=\text{ number of Adidas } \end{gathered}[/tex]The define varibles for the problem are
x = number of rebook and y = Number of adidas
The we have the resulting equation
[tex]\begin{gathered} x+y=50 \\ 450x+400y=30000 \end{gathered}[/tex]The linear equations associated to the word problem are
x+y = 50
And
450x + 400y = 30 000
