Question

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.

Answer 1

Ling can buy 12 bags of balloons, but no more.

A

Answer 2

Option A is the correct choice.

Step-by-step explanation:

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
`10+2.5x\leq 40` 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.

`10-10+2.5x\leq 40-10`

`2.5x\leq 30`

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

`(2.5x)/(2.5)\leq (30)/(2.5)`

`x\leq 12`

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