Question

Juan is buying flowers for his mother. He has $18 to spend and sees that roses are $3 each and carnations are $1.50 each. He wants to buy 3 times as many carnations as roses and plans to spend all of his money on flowers. Write a system of equations to model this situation. Is there a viable solution that meets Juans conditions? Explain.

Answer 1

3r + 1.5c = 18

r = 2c

3(2c) + 1.5c = 18

Solve for c, then insert in first equation to find r.

Answer 2

what i dont understand I dont even know how to do this

Answer 3

PsyDAG, wouldn't it be r=3c since it's he wants to buy 3 times as many carnations as roses?

Answer 4

You have to look at the problem carefully. It says "Is there a VIABLE solution?" This question is asking whether or not there is a solution possible. 3r + 1.5c = 18 doesn't work out. I have no idea how PsyDAG is able to solve it, considering the answer would be a decimal number. So in conclusion I don't think there is a viable answer.