Celia bought 12 apples, ate two of them, and sold the rest at 20 cents more per apple than she paid. Her total profit was $1.00. How much did she sell for each apple?
I need help with this question. I know that this is a bought and sold question. I know that she bought 12 apples. I think she sold(s representing sold) 2-s. But im stuck from their. I made one of those tables but im stuck after because I need to find the cost.
50
To solve this problem, let's break it down step-by-step:
1. Celia bought 12 apples.
2. She ate two of them, so she had 12 - 2 = 10 apples left.
3. Celia sold the remaining 10 apples at a price that was 20 cents more per apple than she paid.
4. Let's say she initially paid x dollars for each apple.
5. The total cost of buying 10 apples is 10 * x dollars.
6. She sold these 10 apples and made a profit of $1.00.
7. The selling price per apple is x + $0.20, as she sold them for 20 cents more than she paid.
8. The total revenue from selling 10 apples is 10 * (x + $0.20) dollars.
9. We know that her profit was $1.00. Therefore, the equation becomes:
Total Revenue (from selling 10 apples) - Total Cost (of buying 10 apples) = $1.00.
10 * (x + $0.20) - 10 * x = $1.00.
10. Simplifying the equation, we get:
10x + 10 * $0.20 - 10x = $1.00.
11. Combining like terms, we have:
2 = $1.00.
12. This equation is not possible, so let's check if there was an error in the problem statement or calculation. Double-check the problem details and the steps taken to arrive at this point.
Since the equation 2 = $1.00 is incorrect, there may have been a mistake in the problem statement or the way the question is phrased. Please review the given information and clarify if necessary.
To solve this question, let's start by breaking down the information given:
1. Celia bought 12 apples.
Let's represent the total cost of the 12 apples as C.
2. Celia ate two of the apples.
This means she sold (12 - 2) = 10 apples.
3. She sold the remaining apples at 20 cents more per apple than she paid.
Let's represent the selling price per apple as (C + 0.20).
4. Her total profit was $1.00.
The profit can be calculated by subtracting the total cost from the total earnings.
Using this information, we can set up an equation to solve for C (the total cost of the 12 apples).
Total cost - Total earnings = Profit
C - (10 * (C + 0.20)) = $1.00
Now, let's solve this equation step-by-step:
1. Distribute 10 to (C + 0.20):
C - (10C + 2.00) = $1.00
2. Simplify the left side:
C - 10C - 2.00 = $1.00
3. Combine like terms:
-9C - 2.00 = $1.00
4. Move the constant term to the right side:
-9C = $3.00
5. Divide both sides by -9 to isolate C:
C = -$3.00 / -9
C = $0.33
Therefore, Celia paid $0.33 for each apple.
Now, let's calculate the selling price per apple:
Selling price per apple = Total cost per apple + Markup
= $0.33 + $0.20
= $0.53
Therefore, Celia sold each apple for $0.53.
Since this is 9th grade, you must know algebra
let price of apple be x cents
then selling price is x+20
10(x+20) - 12x = 100