Claire purchased 36 pounds of cashews for $56.25. She divides the cashews into smaller
bags, each containing 3
8 pound. If she sells each small bag of cashews for 79 cents, what
percent of the money that she collects will be profit? Express your answer to the nearest tenth.
So number of bags times the income?
To find the profit percentage, we need to calculate the total cost and the total revenue and then calculate the profit.
First, we need to find the number of small bags Claire divided the cashews into. Since each small bag contains 3/8 pound, divide the total number of cashews by 3/8.
Number of small bags = 36 pounds / (3/8 pound) = 36 * 8/3 = 96 small bags
Next, we calculate the revenue generated by selling the small bags. Each small bag is sold for 79 cents, so the total revenue is:
Total revenue = Number of small bags * Selling price per small bag = 96 * $0.79
Now, we calculate the profit by subtracting the cost from the revenue:
Profit = Total revenue - Total cost
To find the percentage of the profit, we need to divide the profit by the total revenue and multiply by 100:
Profit percentage = (Profit / Total revenue) * 100
Let's substitute the values and calculate:
Profit percentage = (Profit / $0.79 * 96) * 100
To find the profit, we need to calculate the total cost. Claire purchased 36 pounds of cashews for $56.25. So, the cost per pound is:
Cost per pound = $56.25 / 36 pounds
Now, we calculate the total cost by multiplying the cost per pound with the total number of pounds:
Total cost = Cost per pound * 36 pounds
Substitute the values and calculate:
Total cost = ($56.25 / 36) * 36 = $56.25
Substitute the values back into the profit percentage equation:
Profit percentage = (Profit / $0.79 * 96) * 100
Profit percentage = ((Total revenue - Total cost) / ($0.79 * 96)) * 100
Calculate the profit:
Profit = Total revenue - Total cost
Profit = ($0.79 * 96) - $56.25
Finally, substitute the values back into the profit percentage equation:
Profit percentage = (Profit / ($0.79 * 96)) * 100
Calculate the profit percentage:
Profit = ($0.79 * 96) - $56.25
Profit = $75.84 - $56.25 = $19.59
Profit percentage = ($19.59 / ($0.79 * 96)) * 100
Profit percentage = (19.59 / 75.84) * 100
Profit percentage ≈ 25.8
Therefore, Claire's profit percentage is approximately 25.8%.
It would help if you proofread your questions before you posted them.
3/8 pounds?
36/(3/8) = number of bags (.79) = income
income - 56.25 = profit
Take it from there.