Question

A class collected 2{,}650\,\text{L}2,650L2, comma, 650, start text, L, end text of materials to recycle. Reginald said that 2{,}650 \div 49\dfrac{1}{10}2,650÷49 10 1 ​ 2, comma, 650, divided by, 49, start fraction, 1, divided by, 10, end fraction could represent the volume of each bag if the class filled 49\dfrac{1}{10}49 10 1 ​ 49, start fraction, 1, divided by, 10, end fraction bags with material to recycle. Peni said that 2{,}650 \div 49\dfrac{1}{10}2,650÷49 10 1 ​ 2, comma, 650, divided by, 49, start fraction, 1, divided by, 10, end fraction could represent the number of containers the class filled if each container holds 49\dfrac{1}{10}\,\text{L}49 10 1 ​ L49, start fraction, 1, divided by, 10, end fraction, start text, L, end text of material. Whose interpretation makes sense in this context?

Answer 1

both interpretations make sense

Explanation:

Reginald says (2650 L)/(49 1/10 bags) will give the volume of each bag; Peni says (2650 L)/(49 1/10 containers) will give the volume of each container. You want to know which intepretation makes sense.

Reginald

The result of Reginald's calculation is ...

`(2650\text{ L})/(49(1)/(10)\text{ bags})=(2650)/(49.1)\text{ L/bag}`

The result has units of volume per bag, which is exactly what Reginald says it is.

Peni

The result of Peni's calculation is ...

`(2650\text{ L})/(49(1)/(10)\text{ containers})=(2650)/(49.1)\text{ L/container}`

The result has units of volume per container, which is exactly what Peni says it is.

Both interpretations make sense.

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