Question

lily 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?
ⓐ she can buy from 0 to 12 bags, but no more.
ⓑ she can buy from 0 to 10 bags, but no more.
ⓒ she must buy 12 or more bags.
ⓓ she must buy 10 or more bags.

Explanation:

Step1: Solve the inequality \(10 + 2.5x \leq 40\)

Subtract 10 from both sides: \(2.5x \leq 40 - 10\)
Simplify: \(2.5x \leq 30\)

Step2: Divide both sides by 2.5

\(x \leq \frac{30}{2.5}\)
Calculate: \(x \leq 12\)
Since the number of bags \(x\) can't be negative, \(x\) ranges from 0 to 12 (inclusive).

Answer:

She can buy from 0 to 12 bags, but no more.