A plot of land has a water tank that supplies a family. Currently water tank is at 3/8 of its capacity. Suppose that in a day water is used for three (3) tasks: watering garden, washing clothes and washing dishes. Person in charge of watering garden consumes one-fifth (1/5) of amount in reservoir; person in charge of washing clothes uses one-third (1/3) of amount remaining; and person in charge of washing dishes uses three-fourths (3/4) of amount used by person who watered the garden.  What is capacity of tank and amount of water consumed by first two if we know that third consumes 10 liters to wash the dishes

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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Course: Mathematical Fundamentals
A plot of land has a water tank that supplies a family. Currently water tank is at 3/8 of its capacity. Suppose that in a day water is used for three (3) tasks: watering garden, washing clothes and washing dishes. Person in charge of watering garden consumes one-fifth (1/5) of amount in reservoir; person in charge of washing clothes uses one-third (1/3) of amount remaining; and person in charge of washing dishes uses three-fourths (3/4) of amount used by person who watered the garden. 
What is capacity of tank and amount of water consumed by first two if we know that third consumes 10 liters to wash the dishes?

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Please can you check when using water to wash dishes should be:

3/4 * (3x/40) = 9x /160?
You calculate when the water for washing dishes considering the washing of clothes that is (x/10).
Could you please check it?

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