Gina sells standard ornaments for $10 and the deluxe ornaments for $15. If Gina receives an order for 18 ornaments and charges $200, how many ornaments of each type were ordered?

Respuesta :

jg71
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