Question

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 1

Answer: $x+y\geq12$

$2.75x+3.50y\leq35$

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. $x+y\geq12$

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. $2.75x+3.50y\leq35$

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

$x+y\geq12$

$2.75x+3.50y\leq35$

Answer 2

Given the options, I would say that the answer

b. 2.75x + 3.50y <= 35

x+y=>12.

I believe this answer to be correct because Javier is only seeking to spend 35 dollars maximum. The key is that word. The <= sign indicates that no matter how many red roses/white roses, he cannot spend over what he set for himself.

As for the second part, it's simply asking you how many does he want to have in a bouquet. He wants 12 minimum.

The question now is... What is he going to pick? Price or rose amounts?