A juice company sells its product in either a 48-ounce size or a 32-ounce size. It charges $3.90 for the 48-ounce size. How much should it charge for the smaller size if it wants the price per ounce to be 25% more than the price per ounce of the larger size?

For 48 ounces the price is $ 3.90

So price per ounce is:

$ 3.90 / 48 = $ 0.08125

For the smallest size the price per ounce should be 25% higher means:

For the smallest size the price per ounce should be 125% of price per ounce for 48 ounces.

125% = 125 / 100 = 1.25

Price per ounce for the smaller size :

$ 1.25 ∙ 0.08125 = $ 0.1015625

The total price for the smallest size is:

$ 0.1015625 ∙ 32 = $ 3.25

The company should charge $ 3.25 for the smaller size.

To solve this problem, we need to calculate the price per ounce of the larger size and then determine the price per ounce of the smaller size.

Step 1: Calculate the price per ounce of the larger size
The price of the 48-ounce size is $3.90.
Price per ounce = Total price / Total ounces = $3.90 / 48 ounces
Price per ounce of the larger size = $0.08125 per ounce

Step 2: Calculate the desired price per ounce for the smaller size
The problem states that the price per ounce of the smaller size should be 25% more than the price per ounce of the larger size.
Desired price per ounce for the smaller size = Price per ounce of the larger size + (25% of price per ounce of the larger size)
Desired price per ounce for the smaller size = $0.08125 per ounce + (0.25 * $0.08125 per ounce)
Desired price per ounce for the smaller size = $0.08125 per ounce + $0.0203125 per ounce
Desired price per ounce for the smaller size = $0.1015625 per ounce

Step 3: Calculate the price for the smaller size
To find the price of the smaller size, we need to multiply the desired price per ounce by the number of ounces for the smaller size.
Price for the smaller size = Desired price per ounce for the smaller size * Number of ounces for smaller size
Price for the smaller size = $0.1015625 per ounce * 32 ounces
Price for the smaller size = $3.25

Therefore, the company should charge $3.25 for the smaller size if it wants the price per ounce to be 25% more than the price per ounce of the larger size.

To find out how much the juice company should charge for the smaller size, we'll need to compare the price per ounce of the larger size and then calculate 25% more than that.

First, we need to determine the price per ounce of the 48-ounce size. We can do this by dividing the total price ($3.90) by the number of ounces (48):
Price per ounce for the larger size = $3.90 / 48 = $0.08125 per ounce

Next, we need to find the price per ounce that is 25% more than the price per ounce of the larger size. To calculate the 25% increase, we'll multiply the price per ounce of the larger size by 1.25 (since 25% is the same as 0.25):
Price per ounce for the smaller size = $0.08125 per ounce * 1.25 = $0.10156 per ounce

Therefore, the juice company should charge approximately $0.10 (or $0.10156 rounded to two decimal places) for the smaller 32-ounce size if it wants the price per ounce to be 25% more than the price per ounce of the larger size.