A water tank has a capacity of 2000 litres. It is filled to 11/16 of its capacity in the morning and by the evening only 1/6 th of the tank remains filled. How much water is used during the day?
Answers
Answer:
Water Used = 1041 (2/3)L
Step-by-step explanation:
We know that,
Water used during the day = Water filled - Water left
Now,
Capacity = 2000L
Then,
Water filled = (11/16) of 2000L
= (11/16) × 2000
Taking out the common factors,
= (11/8) × 1000
= (11/4) × 500
= (11/2) × 250
= 11 × 125
= 1375L
Hence,
Water filled = 1375
Now,
Water left at Evening = (1/6) of 2000L
= (1/6) × 2000
Taking the common factors out
= (1/3) × 1000
= (1000/3)L
Then,
Water used during day = 1375L - (1000/3)L
Making the fractions like
= 1375 × (3/3) - (1000/3)
= (4125/3) - (1000/3)
= (4125 - 1000/3)
= (3125)/3
= 1041 (2/3)L
Hence,
Water Used = 1041 (2/3)L
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