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 numbers of candles you must sell to reach your goal.

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Solution

Step 1 : Given In the question
We have,
Goal is to raise at least $$ 50$ .
He earn for each candle sold $= $ 3.50$ .
He also receive a donation $= $ 15$

As given
Goal $\geq 50$
Let the candles sold be $x$
Total money earn by selling $x$ candles $= 3.5 x$
Step 2 : Solve the inequality
Now according to given conditions inequality becomes:
$\Rightarrow 3.5 x + 15 \geq 50$
$\Rightarrow 3.5 x \geq 50 - 15$ [ Subtract $15$ from both sides ]
$\Rightarrow 3.5 x \geq 35$
$\Rightarrow x \geq \frac{35}{3.5}$ [ Divide both sides by $3.5$ ]
$∴ x \geq 10$
Hence, This is the required inequality which shows numbers of candles you must sell to reach your goal.

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Your goal is to raise at least $50in 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 numbers of candles you must sell to reach your goal.

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 numbers of candles you must sell to reach your goal.