Question

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.

Answer 1

15+3.50n≥50

Minimum number of Candles Required=10

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.