We have been given that Joanie wants to mail a package that requires $1.04 in postage.
She has only 5-cent and 6-cent stamps.
Let us assume that she uses x 5-cent stamps and y 6-cent stamps. Therefore, we can set up an equation:
[tex]5x+6y=104[/tex]
We need to figure out integer values of x and y such that their sum, that is, (x+y) is minimum.
In order to do so, we would be requiring at least four 5-cent stamps.
Therefore, number of 6-cent stamps would be:
[tex]5(4)+6y=104\\20+6y=104\\6y=84\\y=\frac{84}{6}=14[/tex]
Therefore, the smallest number of stamps would be 14+4 = 18 stamps