Question

Leah is running a bake sale for her crew team she pay $45 for supplies to get started in addition it cost about $0.50 to make each item if baked good items sell for $2 each determine how many items Leah and her team will need to sell in order to break even

Answer 1

To break even, Leah and her team need to sell 30 items at a price of $2 each.

Step-by-step explanation:

To determine how many items Leah and her team will need to sell in order to break even, we need to consider the total cost and the selling price of each item.

The total cost for Leah to get started was $45 for supplies. Additionally, it costs $0.50 to make each item. Let's call the number of items Leah needs to sell to break even as 'x'.

The total cost can be expressed as: $45 + $0.50x

The total revenue from selling x items can be expressed as: $2x

Leah and her team will need to sell enough items to cover the total cost, so we need to find the value of x that makes the total cost equal to the total revenue. This can be expressed as an equation:

$45 + $0.50x = $2x

To solve this equation, we can subtract $0.50x from both sides:

$45 = $2x - $0.50x

Combining like terms, we get:

$45 = $1.50x

Now, we can divide both sides by $1.50 to isolate x:

$45 / $1.50 = x

x = 30

Therefore, Leah and her team will need to sell 30 items in order to break even.

Answer 2

Answer: 30 items

Step-by-step explanation:

1) Break even ⇒ Profit = 0 or Cost = Revenue.

2) Cost = fixed cost + variable cost

• fixed cost = supplies = $ 45
• variable cost = making cost = $0,50x, where x is the number of items
• cost function = 45 + 0.5x

3) Revenue = price × number of items

• price = $ 2
• revenue = 2x

4) Equation

• cost = revenue
• 45 + 0.5x = 2x
• Solve for x:

2x - 0.5x = 45

1.5x = 45

x = 45 / 1.5

x = 30 ← answer