Question

Kelsey has to 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 C
It takes Kelsey 5 hours to make 12 pendants. If she works 8 hours per day for 3 days before the craft fair, can she make enough additional pendants to sell so that she can make a profit of at least $50? Explain.

Answer 1

Explanation:

Let's calculate how much she will spend:

She has to pay $200 for the rent.

She made 10 pendants that costed $7.80 each, that's a total of 10*$7.80 = $78.

Therefore, she will spend $200 + $78 = $278.

Let's define x as the amount of pendants she makes.

To make a profit, the amount of pendants she makes, multiplied by $13.50 that is the price, has to be greater than $280 added to the amount of pendants she makes, multiplied by $7.80 that is the cost.

We write that as

13.50x > 280 + 7.80x

Let's subtract 7.80x on both sides:

13.50x -7.80x > 280 + 7.80x - 7.80x

5.70x > 280

Now we divide by 5.70 on both sides:

5.70x/5.70 > 280/5.70

x > 49.1

To make profit, she needs to make and sell more than 49 pendants.