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.