Answer:
c+r+d= 200
1.50c+5.75r+2.60d= 589.50
r=d-20
Step-by-step explanation:
From the information given you have that Billy's restaurant ordered roses, daisies and carnations that total 200 flowers. The first equation is:
c+r+d= 200
c= number of carnations
r= number of roses
d= number of daisies
Also, you can say that the sum of the results of multiplying the price of each flower for its quantity is equal to $589.50. The second equation is:
1.50c+5.75r+2.60d= 589.50
Besides, from the statement you know there are 20 fewer roses than daisies and from that you can write the third equation:
r= d-20
The system of linear equations that can be used to find c, the number of carnations, r, the number of roses, and d, the number of daisies is:
c+r+d= 200
1.50c+5.75r+2.60d= 589.50
r=d-20
