To solve this problem you must apply the proccedure shown below:
1. Let's call: [tex] x [/tex] the number of roses and [tex] y [/tex] the number of lilies.
2. You must make a system of equation based on the information given in the problem above:
[tex] 1) 1.75x+2y=21.75\\ 2) x+y=12 [/tex]
3. Use the method of substitution. First, solve for [tex] x [/tex] in the second equation, then substitute it into the first equation, and then solve for [tex] y [/tex]:
[tex] x=12-y\\ 1.75(12-y)+2y=21.75\\ y=3 [/tex]
4. Now, substitute [tex] y=3 [/tex] into the second equation:
[tex] x+3=12\\ x=9 [/tex]
Therefore, the answer is: [tex] 9 [/tex] roses and [tex] 3 [/tex] lilies.
