Question

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each, how many beaded necklaces must she sell to make a profit of at least $500? Upload your work to show how you got to the answer. **help as soon as possible please, this is a current test**

Answer 1

Answer: She must sell at least 30 beaded necklaces to make a profit of at least $500.

Explanation:

Hi, to answer this question we have to write an equation with the information given:

• Cost of selling necklaces: $95 + $15x

Where $95 is the cost of renting the booth, and n is the number of necklaces

• Profit: 35x

To break even the equation is:

95+15x = 35x

Since she wants at least have a profit of $500, (at least means more or equal)

The profit will be placed in the cost side:

95 +15x+500 ≤35x

Solving:

95+500≤35x-15x

595 ≤ 20x

595/20 ≤ x

29.75≤ x

Rounded

30 ≤x

She must sell at least 30 beaded necklaces to make a profit of at least $500.

Answer 2

To make a profit of at least $500 she must sell at least 12 necklaces

Explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

`95+15x+500\leq35x`

`595\leq50x`

⇒
`x\geq11.9=12`

Hence, to make a profit of at least $500 she must sell at least 12 necklaces