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Ms. Johnson owns a spice shop. She combines 5 pounds of dried rose hips and 1 pound of five-spice powder to make a new seasoning. How much should she charge for 1 ounce of the new seasoning if she can sell the dried rose hips for $8 per pound and the five-spice powder for $11 per ounce?
5 lbs = 80 oz, so the mixture is worth
80(8/16) + 16(11) = 96x
x = $2.25/oz
To determine the cost of the new seasoning, let's start by finding the total cost of the dried rose hips and the five-spice powder used in making it.
1. Dried Rose Hips:
- Ms. Johnson combines 5 pounds of dried rose hips.
- The cost of dried rose hips is $8 per pound.
- Therefore, the cost of 5 pounds of dried rose hips is 5 * $8 = $40.
2. Five-Spice Powder:
- Ms. Johnson combines 1 pound of five-spice powder.
- The cost of five-spice powder is $11 per ounce.
- Since there are 16 ounces in a pound, the cost of 1 pound of five-spice powder is 16 * $11 = $176.
Now, let's find the total cost of the new seasoning by summing up the costs of the dried rose hips and the five-spice powder:
Total cost = $40 (dried rose hips) + $176 (five-spice powder) = $216
Since Ms. Johnson has a total of 1 pound of the new seasoning, which equals 16 ounces, the cost of 1 ounce of the new seasoning would be:
Cost per ounce = $216 (total cost) / 16 (ounces) = $13.50
Therefore, Ms. Johnson should charge $13.50 for 1 ounce of the new seasoning.
To determine how much Ms. Johnson should charge for 1 ounce of the new seasoning, we need to calculate the cost of the ingredients used.
First, let's calculate the cost of the dried rose hips. Ms. Johnson combines 5 pounds of dried rose hips, and each pound can be sold for $8. Therefore, the cost of the dried rose hips is 5 pounds * $8/pound = $40.
Next, let's calculate the cost of the five-spice powder. Ms. Johnson uses 1 pound of five-spice powder, and each ounce can be sold for $11. Since there are 16 ounces in a pound, the cost of the five-spice powder is 1 pound * $11/ounce * 16 ounces/pound = $176.
Now, we add the costs of the dried rose hips and the five-spice powder to find the total cost of the ingredients. $40 + $176 = $216.
Since the total cost of the ingredients is $216, Ms. Johnson should charge $216 for 16 ounces of the new seasoning. To find the cost for 1 ounce, we divide the total cost by the number of ounces: $216 / 16 ounces = $13.50.
Therefore, Ms. Johnson should charge $13.50 for 1 ounce of the new seasoning.