Suppose the bucket holds somewhere between 150 and 200 gallons of water. If we fill as many 6-gallon containers as we can from this bucket, we will be left with a gallon of water. If we fill as many 9-gallon containers as we can from this bucket, we will again be left with a gallon of water. If we fill as many 12-gallon containers as we can from this bucket, we will once again be left with a gallon of water. What is the capacity of the bucket?
Answers
Answer:
the capacity of container is 181 gallons
Step-by-step explanation:
- 6 × 30 = 180. remains 1 gallon
- 9 × 20 = 180. remains 1 gallon
- 12 × 15 = 180. remains 1 gallon
hope fully you understand bro
The Capacity Of The Bucket Is 181 Gallon.
GIVEN
The capacity of the bucket = From 150 to 200 gallons.
the volume of water filled in containers - was 9 gallons, 6 gallons, and 12 gallons.
the volume of water left = 1 gallon.
TO FIND
The capacity of the bucket.
SOLUTION
We can simply solve the above problem as follows -
It is given,
The capacity of the bucket = is between 150 and 200 gallons.
Water from this bucket is filled in containers of capacity, of 6 gallons, 9 gallons, and 12 gallons.
The remaining volume of water left = 1 gallon.
To find out the capacity of the bucket we will first find out the LCM of 6, 9, and 12.
LCM of 6, 9, and 12 = 2×2×3××3 = 36.
The capacity of the bucket will be a multiple of 36.
And, it is given that the capacity is between 150-200
so,
36×5 = 180
Now, if the capacity of the bucket was 180 gallons no volume of water would have been left after filling the containers.
But it is given that, 1-gallon water is left.
So,
Water capacity = 180+1 = 181 gallons
Hence, the capacity of the bucket is 181 gallons.
#Spj2.
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