Answer:
80 roses, 50 carnations and 70 daisies were ordered.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y+z=200 (1)
1.50x+5.75y+2.60z=589.50 (2)
z=y+20 (3)
First, you can replace (3) in (1) and (2):
x+y+y+20=200
x+2y=180
1.50x+5.75y+2.60(y+20)=589.50
1.50x+5.75y+2.60y+52=589.50
1.50x+8.35y=537.50
Now, you have 2 equations:
x+2y=180 (4)
1.50x+8.35y=537.50 (5)
You can solve for x in (4):
x=180-2y (6)
Then, you can replace (6) in (5) and solve for y:
1.50(180-2y)+8.35y=537.50
270-3y+8.35y=537.50
5.35y=267.50
y=267.50/5.35
y=50
You can replace the value of y in (6) to find x:
x=180-2(50)
x=180-100
x=80
Finally, you can replace the value of y in (3) to find z:
z=y+20
z=50+20
z=70
According to this, the answer is that 80 roses, 50 carnations and 70 daisies were ordered.
