Final answer:
To make orange tango smoothies, you need to determine the limiting ingredient between the orange juice and mango juice. The smaller quantity, which is 410 ounces of mango juice, determines the maximum number of smoothies that can be made.
Step-by-step explanation:
To determine how many orange tango smoothies can be made, you need to find the limiting ingredient between the orange juice and mango juice. The ingredients needed for one orange tango smoothie are 1 ounce of orange juice and 1 ounce of mango juice. Therefore, the number of smoothies that can be made is determined by the smaller of the two quantities. In this case, the smaller quantity is 410 ounces of mango juice, so you can make a maximum of 410 orange tango smoothies.