I need the three equations and the answers to the question below?

A Restaurant ordered 200 flowers for table settings. 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. How many of each type of flower was ordered?

I need the three equations and the answers to the question below?
c+r+d=200


1.5c+5.75r+2.6d=589.50


r=d-20
Reply:c+r+d=200


C=1.5c+5.75r+2.6d=589.5


r=d-20


c%26gt;r+d=d-20+d=2d-20


sub in for r...


c+d-20+d=200


c+2d=220


1.5c+5.75(d-20)+2.6d=589.5


1.5c+5.75d-115+2.6d=589.5


1.5c+8.35d=704.5


sub in for c...


1.5(220-2d)+8.35d=704.5


330-3d+8.35d=704.5


5.35d=374.5


d=70


c+2(70)=220


c=80


r+80+70=200


r=50
Reply:Equations:





C + D + R = 200


D = R + 20


1.5*C + 2.6*D + 5.75*R = 589.50





Sub the second equation into the first and third.


C + R + 20 + R = 200 --%26gt; C + 2R = 180





1.5*C + 2.6(R+20) + 5.75*R = 589.50 --%26gt;


1.5*C + 2.6*R + 52 + 5.75*R = 589.50 --%26gt;


1.5*C + 8.35*R = 537.50





Multiply the first equation by -1.5:


-1.5*C - 3*R = -270





Combine it with the new third equation:


5.35*R = 267.50





R = 50





Now, D = R + 20 so





D = 70





And, C + D + R = 200 so





C + 50 + 70 = 200





C = 80





As a check:





1.5*80+ 2.6*70 + 5.75*50 does = 589.50.