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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? 

 May 15, 2023
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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]

 May 15, 2023

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