Billy'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. They ordered mostly

carnations, and 20 fewer roses than daisies. The total order came to $589.50. Write

a 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.

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