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?

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 ≥ 12

i.e.

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)≤ $35

i.e.

Now, From (1) and (2) the system of inequalities represents the situation :

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