The girls' swim team is hosting a fundraiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

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The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

Write a system using c for candles and f for flowers.

Answer:

c + f ≤ 200

5c +6f ≥ 500

Step-by-step explanation:

Using

c for candles

f for flowers.

The girls estimate that at most they will sell 200 items.

At most is a statement that means : Less than or equal to with the inequality sign (≤)

Hence:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

At least is a statement that means : Greater than or equal to with the inequality sign (≥)

Hence:

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500