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`

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`