Final answer:
The Correct option is 1). The mathematics problem involves converting units of volume to determine the volume of a carton of orange juice in fluid ounces, using equivalences like 1 quart equals 32 fluid ounces, and 1 cup equals 8 fluid ounces.
Step-by-step explanation:
The question is asking for the volume of a carton of orange juice in fluid ounces, which is a mathematics problem related to unit conversion. To determine the volume of the orange juice carton, we need to understand the equivalence between different units of volume within the customary system. Typically, a carton of orange juice bought at a grocery store might come in several standard sizes, such as those listed in the question (32, 16, 64, 8 fluid ounces).
For example, when given the value in quarts and needing to convert to fluid ounces, we use the equivalence that 1 quart is equal to 32 fluid ounces. If we were converting 4 quarts to fluid ounces, we would multiply 4 by 32, giving us 128 fluid ounces. Similarly, to find out how many fluid ounces are in a certain number of cups, we need to remember that 1 cup is equal to 8 fluid ounces. So 4½ cups would equal 4.5 multiplied by 8, resulting in 36 fluid ounces.
Referencing other common unit equivalences within the customary system: 1 pint equals 16 ounces, and 1 gallon equals 128 fluid ounces. These conversion factors enable us to solve problems involving volume, such as determining the quantity of fluid in a carton of orange juice or calculating how much liquid someone has consumed.