Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.

10+2.5X_<40

Which best describes the number of bags of balloons she can buy?
A.She can buy from 0 to 12 bags, but no more.
B.She can buy from 0 to 20 bags, but no more.
C.She must buy 12 or more bags.
D.She must buy 20 or more bags.

We have been given that Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50.

The inequality [tex]10+2.5x\leq 40[/tex] represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.

Let us solve for x by subtracting 10 from both sides of our inequality.

[tex]10-10+2.5x\leq 40-10[/tex]

[tex]2.5x\leq 30[/tex]

Now we will divide both sides of our inequality by 2.5.

[tex]\frac{2.5x}{2.5}\leq \frac{30}{2.5}[/tex]

[tex]x\leq 12[/tex]

Therefore, Ling can buy from 0 to 12 bags, but no more and option A is the correct choice.