A farm stand owner mixes apple juice and cranberry juice. How much should he charge if he mixes 8 L of apple juice selling for .45/L with 10 L of cranberry juice selling for $1.08/L?
To find out how much the farm stand owner should charge for the mixed juice, we need to calculate the total cost of the apple juice and cranberry juice first. Then, we can determine the price per liter for the mixed juice.
Let's start by calculating the cost of the apple juice:
Cost of 8 L of apple juice = 8 L * $0.45/L = $3.60
Next, let's calculate the cost of the cranberry juice:
Cost of 10 L of cranberry juice = 10 L * $1.08/L = $10.80
Now, let's find the total cost of the mixed juice by adding the costs of the apple juice and cranberry juice:
Total cost of mixed juice = $3.60 + $10.80 = $14.40
Since the farm stand owner is mixing 8 L of apple juice with 10 L of cranberry juice, the total volume of mixed juice will be 8 L + 10 L = 18 L.
Finally, let's determine the price per liter for the mixed juice by dividing the total cost by the total volume:
Price per liter for mixed juice = $14.40 / 18 L ≈ $0.80/L
Therefore, the farm stand owner should charge approximately $0.80 per liter for the mixed juice.