SOLUTION: Bily's restaurant ordered 200 flowers for mother's day. They ordered carnations at $1.50 each, roses at $5.75 each and daisies at $2.60 each. The order mostly carnations and 20 few

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Bily's restaurant ordered 200 flowers for mother's day. They ordered carnations at $1.50 each, roses at $5.75 each and daisies at $2.60 each. The order mostly carnations and 20 few      Log On


   

Question 1096648: Bily's restaurant ordered 200 flowers for mother's day. They ordered carnations at $1.50 each, roses at $5.75 each and daisies at $2.60 each. The order mostly carnations and 20 fewer roses than daisies. The total order came to $589.50. How many of each type of flowers were ordered?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Bily's restaurant ordered 200 flowers for mother's day. 
C + R + D = 200

They ordered carnations at $1.50 each, roses at $5.75 each and daisies at $2.60 each. ... The total order came to $589.50.
1.50C + 5.75R + 2.60D = 589.50

...20 fewer roses than daisies. 
R = D - 20

Simplify and solve the system

system%28C+%2B+R+%2B+D+=+200%2C+1.50C+%2B+5.75R+%2B+2.60D+=+589.50%2C+R+=+D+-+20%29

Answer: 80 carnations, 50 roses, 70 daisies.

Edwin