Noah fills a soap dispenser from a big bottle that contains 2 13 liters of liquid soap. That amount of soap will fill 3 12 dispensers. How many liters of soap fit into one dispenser?

Respuesta :

Answer:

L = 2/3 or 0.67 liters per dispenser

Incorrect question

Corrected question:

Noah fills a soap dispenser from a big bottle that contains 2 1/3 liters of liquid soap. That amount of soap will fill 3 1/2 dispensers. How many liters of soap fit into one dispenser?

Step-by-step explanation:

Total volume of soap in the dispenser = 2 1/3 liters

Converting to improper fraction = 7/3 liters

Total number of dispenser the soap can fill = 3 1/2

Converting to improper fraction = 7/2

How many liters L of soap fit into one dispenser;

L = number of liters per dispenser

L = Volume of soap/number of dispensers

L = 7/3 ÷ 7/2

L = 7/3 × 2/7 = 2/3 liters per dispenser

L = 2/3 or 0.67 liters per dispenser

The amount of soap fit into one dispenser = 0.666 liters

This question is based on unitary method

Noah fills a soap dispenser from a big bottle  

The amount of soap contained in the big bottle = [tex]2\times (1/3)[/tex]

That amount of dispensers of that will be filled by soap =  [tex]3\times (1/2) x[/tex]

where [tex]x[/tex] is the amount of soap filled in one dispenser.

[tex]2\times (1/3)[/tex] = [tex]3\times (1/2) x[/tex]

[tex]x = 2/3[/tex]

[tex]x = 0.666 \; liters[/tex]

So

The amount of soap fit into one dispenser = 0.666 liters

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