A class collected 2,650L of materials to recycle. Reginald said that 2,650÷49(1)/(10) could represent the volume of each bag if the class filled 49(1)/(10) bags with material to recycle. Peni said that 2,650÷49(1)/(10) could represent the number of containers the class filled if each container holds 49(1)/(10)L of material. Whose interpretation makes sense in this context? Choose 1 answer: (A) Reginald's only (B) Peni's only (C) Both Reginald's and Peni's

Question

A class collected  2,650L of materials to recycle. Reginald said that  2,650÷49(1)/(10) could represent the volume of each bag if the class filled  49(1)/(10) bags with material to recycle. Peni said that  2,650÷49(1)/(10) could represent the number of containers the class filled if each container holds  49(1)/(10)L of material. Whose interpretation makes sense in this context? Choose 1 answer: (A) Reginald's only (B) Peni's only (C) Both Reginald's and Peni's

Bytelearn · Accepted Answer

Understand the Context: Understand the context of the problem. The class has collected a total of 2,650 liters of materials to recycle. We need to determine whether the division 2,650÷49(1)/(10) represents the volume of each bag if the class filled 49(1)/(10) bags, or the number of containers filled if each container holds 49(1)/(10) liters of material.Analyze Reginald's Interpretation: Analyze Reginald's interpretation. Reginald suggests that 2,650÷49(1)/(10) represents the volume of each bag if the class filled 49(1)/(10) bags with material. This would mean dividing the total volume by the number of bags to find the volume per bag.Analyze Peni's Interpretation: Analyze Peni's interpretation. Peni suggests that 2,650÷49(1)/(10) represents the number of containers the class filled if each container holds 49(1)/(10) liters of material. This would mean dividing the total volume by the volume per container to find the total number of containers.Determine Correct Interpretation: Determine which interpretation is correct. In the context of the problem, we are trying to find out how the total volume of recycled material is distributed. If we are given the total volume and the volume that each container can hold, we would divide the total volume by the volume per container to find out how many containers are needed. This aligns with Peni's interpretation.Check Units: Check the units to confirm the correct interpretation. When dividing a total volume by the volume per container, the result is the number of containers. This is because the units of volume cancel out, leaving us with a unitless number, which represents the count of containers. Therefore, Peni's interpretation is the one that makes sense.

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