To solve this exercise, we define the following variables:
• j = Japan size of shoes,
,• u = United Sates size of shoes,
,• k = Korea size of shoes.
From the statement of the problem, we know that:
0. In Japan, shoe size is 16 more than the size in the United States →, j = 16 + u,,
,1. In Korea, shoe size is 224 more than the size in Japan →, k = 224 + j.
We must find a function for the U.S. size of a shoe (u) in terms of the shoe size in Korea (k).
1) From point 1, we have:
[tex]\begin{gathered} j=16+u, \\ u=j-16. \end{gathered}[/tex]2) From point 2, we have:
[tex]\begin{gathered} k=224+j, \\ j=k-224. \end{gathered}[/tex]Replacing the expression of j in terms of k in the expression of u, we get:
[tex]u=j-16=(k-224)-16=k-240.[/tex]Replacing the value k = 250 in the last equation, we get:
[tex]u=250-240=10.[/tex]Answer
The U.S. shoe size of a shoe that is 250 in Korea is equal to 10.
