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Tanzi and Maeve each have brand new $1200$ mL bottles of soap. They use soap at different constant rates. When Tanzi's bottle is completely empty, she asks Maeve to add soap from Maeve's bottle, which is still two-thirds full. How many milliliters of soap should Maeve pour from her bottle into Tanzi's so that both bottles will be completely emptied at the same time?

 Jun 28, 2023
 #1
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https://web2.0calc.com/questions/algebra_89070

 Jun 28, 2023
 #2
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1  -  2/3 ==1/3

 

1/3 * 1200 ==400 mL used by Maeve

 

1200  -  400 ==800 mL left in Maeve's bottle.

 

1200 mL used by Tanzi

 

Ratio of Tanzi to Maeve's use ==1200 : 400 ==3 : 1

 

3 + 1 =4 sum of the ratios.

 

800 / 4 ==200 - the constant

 

200  x  3 ==600 mL  Maeve should pour from her bottle into Tanzi's bottle [which is what you are interested in]

 

200  x  1 ==200 mL should be left in Maeve bottle

 

Since the ratio of their use is 3 : 1 ==600 : 200 ==3 : 1 when their bottles would be empty at the same time.

 Jun 28, 2023

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