Joelle plans to sell two types of balloons at her charity event: 171717‑inch latex balloons that require 222 cubic feet (\text{ft}^3)(ft 3 )left parenthesis, start text, f, t, end text, cubed, right parenthesis of helium and 181818‑inch mylar balloons that require only 0.5 \,\text{ft}^30.5ft 3 0, point, 5, start text, f, t, end text, cubed. She only has access to 1{,}000 \,\text{ft}^31,000ft 3 1, comma, 000, start text, f, t, end text, cubed of helium, 15\%15%15, percent of which will be u

Question:

Joelle plans to sell two types of balloons at her charity event: 171717‑inch latex balloons that require 222 cubic feet (\text{ft}^3)(ft
3
)left parenthesis, start text, f, t, end text, cubed, right parenthesis of helium and 181818‑inch mylar balloons that require only 0.5 \,\text{ft}^30.5ft
3
0, point, 5, start text, f, t, end text, cubed. She only has access to 1{,}000 \,\text{ft}^31,000ft
3
1, comma, 000, start text, f, t, end text, cubed of helium, 15\%15%15, percent of which will be unused due to pressure loss in the tanks. She wants to have at least 500500500 balloons for sale in total. For the number of latex balloons, LLL, and number of mylar balloons, MMM, which of the following systems of inequalities best represents this situation?

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