Juan is buying flowers for his mother. He has $18$18 to spend and sees that roses are $3$3 each and carnations are $1.50$1.50 each. He wants to buy 33 times as many carnations as roses and spend all of his money on flowers. Find a system of equations that models this situation. Is there a viable solution that meets Juan’s conditions?
R==Roses, C ==Carnations
C / R==3/1.....................(1)
3R + 1.5C==18..............(2), solve for C, R
C==36/5 and R==12/5 [You cannot have fraction of a flower! Therefore I cannot see a viable solution if he wants to spend all his money on flowers and have 3 times as many carnations as roses]
