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?

sandwich Jun 28, 2023

#2**0 **

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.

Guest Jun 28, 2023