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 given inequality 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 20 bags, but no more. she can buy from 0 to 12 bags, but no more. she must buy 12 or more bags. she must buy 20 or more bags.

Explanation:

Step1: Solve the inequality

$$10 + 2.5x\leq40$$
Subtract 10 from both sides:
$$2.5x\leq40 - 10$$
$$2.5x\leq30$$
Divide both sides by 2.5:
$$x\leq\frac{30}{2.5}$$
$$x\leq12$$
Since the number of bags \(x\) can't be negative (\(x\geq0\) as you can't buy a negative number of bags), the solution is \(0\leq x\leq12\)

Answer:

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