Question

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?

Answer 1

first we set up 2 equations using the given info
let standard ornaments = s & deluxe ornaments = d

`s + d = 18`

`10s + 15d = 200`

first we solve for one variable in our first equation

`s = 18 - d`

then we plug it into our second equation

`180 - 10d + 15d = 200`

`5d = 20`

`d = 4`

now plug this back into our first equation

`s + 4 = 18`

`s = 14`

standard ornaments ordered = 14
deluxe ornaments ordered = 4