.
This problem can easily be solved using only one equation for one single unknown.
Let x be the numer of daisies.
Then the number of Roses is (x-20),
and the number od carnations is the rest, (200-x-(x-20) = (200 - 2x + 20) = (220-2x).
The total money equation is
2.60*x + 5.75*(x-20) + 1.50*(220-2x) = 589.50.
Thus you have one single equation for one unknown x.
Simplify and solve it, step by step
2.60x + 5.75x - 115 + 330 - 3x = 589.50
5.35x + 215 = 589.50
5.35x = 589.50 - 215 = 374.50
x = = 70.
ANSWER. 70 daisies, 70-20 = 50 roses and the rest flowers, 200-70-50 = 80, are carnations.
Solved.
--------------------
From the first glance, this problem is for 3 unknowns.
But, actually, it can be solved using only one unknown and one single equation.
There is no need to explain that obvious fact that it reduces the volume of calculations,
reduces your efforts and diminish the chances to make errors.
Therefore, from my post learn how to do it.
You also should learn how to recognize such problems from the first glance.
At this site, there is a SPECIAL LESSON explaining and showing different similar problems solved in the same way
- Advanced word problems to solve using a single linear equation
Remember, that your task is not to get a correct answer, only.
Your task is to make it in a right way (!)
Happy learning (!)