Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses but wants to spend less than $35. Red roses cost $2.75 each and white roses cost $3.50 each. If x represents the number of red roses and y represents the number of white roses, which system of inequalities represents the situation?

Answer: [tex]x+y\geq12[/tex][tex]2.75x+3.50y\leq35[/tex]Step-by-step explanation:Let x represents the number of red roses and y represents the number of white roses.Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.i.e. the required inequality for this statement will be :-No. of red roses +No. of white roses ≥ 12i.e. [tex]x+y\geq12[/tex]Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35. i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35i.e. [tex]2.75x+3.50y\leq35[/tex]Now, From (1) and (2) the system of inequalities represents the situation : [tex]x+y\geq12[/tex][tex]2.75x+3.50y\leq35[/tex]