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sleet_krkn [62]
3 years ago
8

Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair

. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A (first text box) Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B (second text box) Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit? Answer in a complete sentence.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

Additional <em>26</em> pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes x number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for x number of pendants.

Cost of material for x number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for x number of pendants = $7.80 \times x

So, total cost = $200 +  $7.80 \times x

Now, each pendant is sold at $13.50

So, total money made by selling  x pendants =  $13.50 \times x

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

\bold{13.50 \times x  > 200+7.80\times x }

Let us solve the inequality now:

13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10  = <em>26</em> pendants are to be sold to make profit.

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