the elephant water tank hold 2560 gallons of water. after two weeks the zookeeper measures and find that the tank has 1944 gallons of water left. if the elephant drinks the same amount of water each day , how many days will of a full tank of water last?

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25-11-2015
Mathematics

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the elephant water tank hold 2560 gallons of water. after two weeks the zookeeper measures and find that the tank has 1944 gallons of water left. if the elephant drinks the same amount of water each day , how many days will of a full tank of water last?

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wifilethbridge wifilethbridge · Answer 1 · 2019-02-15T10:50:16+01:00

Answer:

44 days

Step-by-step explanation:

The elephant water tank hold gallons of water = 2560

After two weeks the zookeeper measures and find that the tank has 1944 gallons of water left.

1 week = 7 days

So, 2 weeks = 7*2 = 14 days

So, after 14 days the amount of water left = 1944

So, the amount of water the elephant drank in 14 days:

= Total amount of water - remaining amount of water

=2560 -1944

=616 gallons

Thus the elephant drank in 14 days = 616 gallons of water

Since we are given that the elephant drinks the same amount of water each day

So, in 14 days elephant drank water = 616 gallons of water

So, it drinks water in 1 day = [tex]\frac{616}{14}[/tex]

= [tex]44[/tex]

So, elephant drink water 44 gallons of water in 1 day

So, he drinks remaining amount of water i.e. 1944 gallons in days = [tex]\frac{1944}{44}[/tex]

44.18

So, he drinks remaining water in 44 days .

So, total days he took to drink whole tank = 14+44 =58 days.

Hence for 58 days full tank of water last.

ardni313 ardni313 · Answer 2 · 2019-10-07T04:28:01+02:00

The remaining water in the tank will run out in 44.18 days

Further explanation

Comparison is an effort to compare two or more objects in terms of shape or size, or number

Proportional Comparisons are comparisons of two or more numbers where one number increases, the other numbers also increase

Can be formulated

[tex]\frac {x1} {y1} = \frac {x2} {y2}[/tex]

so that if:

x = 2

then

[tex]y = \frac {y} {x} \times \: 2[/tex]

While the reversal value comparison is the comparison of two or more numbers where one number increases, the other number decreases in value

Can be formulated

[tex]\frac {x1} {y2} = \frac {x2} {y1}[/tex]

so that if:

x = 2

then

[tex]y = \frac {x} {y} \times \: 2[/tex]

The elephant water tank hold 2560 gallons of water

after two weeks, the tank has 1944 gallons of water left

So the water that the elephant has drunk:

2560 - 1944 = 616 gallons

Within 14 days = 616 gallons

then in 1 day = x gallons

we can make a comparison:

[tex]\displaystyle x= {\frac{1\times\:616}{14}[/tex]

x= 44 gallons/day

Because water is left in the tank = 1944 gallons, then this runs out in:

1944 gallons: 44 gallons / day = 44.18 more days

or in 44 days 4 hours 19 minutes 12 seconds

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Keywords: water tank, elephant, gallons