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13 August, 09:05

Your goal is to raise at least $50 in a charity fundraiser. You earn $3.50 for each candle sold. You also receive a $15 donation. Write and solve an inequality that represents the number of candles you must sell to reach your goal.

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  1. 13 August, 09:16
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    15+3.50n≥50

    Minimum number of Candles Required=10

    Step-by-step explanation:

    Let the number of candles to be sold = n

    Each candles cost $3.50

    Total proceeds from candle sales=$3.50 X number of candles sold=$3.50n

    Since there is a donation of $15 on ground.

    We therefore have total income to be given by the expression: $ (15+3.50n)

    Since the goal of the charity is to raise at least $50. This means our total income generated can be greater or equal to $50 but not less.

    Therefore, the inequality that represents the number of candle to be sold to reach the goal is given as:

    15+3.50n≥50

    Next, we solve for n.

    15+3.50n≥50

    3.50n≥50-15

    3.50n≥35

    Divide both sides by 3.5

    n≥10.

    A minimum number of 10 candles must be sold to reach the goal.
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