Noah fills a soap dispenser from a big bottle that contains 21/3 liters of liquid soap. That amount of soap will fill 31/2 dispensers. How many liters of soap fit into one dispenser?
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Answer:
Big bottle contain 213L of soap. Big bottle will fill 312 dispensers. This means 1 each dispenser can take 213/312 litres = 0.68L per dispenser.
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Each soap dispenser contains 0.66 liters of soap.
Given:
the volume of liquid soap in the big bottle = 2 and 1/3 liters
number of soap dispensers that can be filled with the big bottle = 3 and 1/2 dispensers
To Find:
the volume of soap in one dispenser
Solution:
2 and 1/3 liters = (2 + 1/3) liters
= 7/3 liters
and 3 and 1/2 liters = 7/2
now, the volume of soap in each dispenser will be = volume of soap in the big bottle ÷ number of bottles filled
= 7/3 ÷ 7/2
= 7/3 × 2/7
= 2/3
= 0.66
Thus, each soap dispenser contains 0.66 liters of soap.
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