a water tank is three fourth full 21 liters if water is drawn out from the tank the tank is now two fifth full what's the capacity if the tank
Answers
Answer:
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Step-by-step explanation:
Let T be=capacity of the tank when it's full
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3/4*T-20=2/5*T
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This equation states that three/fourth of the tank capacity minus twenty one liters equals two/fifth of the tank
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SOLVE FOR T
3/4*T-21=2/5*T
Subtract (2/5)*T and add 21to both sides of this equation
to get:(3/4)*T-(1/5)*T=21
Multiply both sides of this equation by 20 to get:
15*T-8*T=21*20
Simplify to get:
7*T=21*20
Divide both sides of this equation by 7 to get:
T=21*20/7
Simplify to get :
T=60
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The capacity of the tank when it is full is 60 liters
3/4*this is 45 liters
Subtract 21 from that to get 24 liters
24 liters/60=2/5
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Capacity of the tank is 60 liters. Remove 21 liters from it when it is only 3/4 full and you are left with 24 liters which is 2/5 of capacity of the tank.
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That's your answer