first we set up 2 equations using the given info
let standard ornaments = s & deluxe ornaments = d
[tex]s + d = 18[/tex]
[tex]10s + 15d = 200[/tex]
first we solve for one variable in our first equation
[tex]s = 18 - d[/tex]
then we plug it into our second equation
[tex]180 - 10d + 15d = 200[/tex]
[tex]5d = 20[/tex]
[tex]d = 4[/tex]
now plug this back into our first equation
[tex]s + 4 = 18[/tex]
[tex]s = 14[/tex]
standard ornaments ordered = 14
deluxe ornaments ordered = 4