Three tanks,A,B,C are used to store oil. Tank A contains 'n' litres of oil. Tank B contains (n+150) litres of oil. Tank C is empty. Oil is pumped from tank A and from tank B into tank C so that all three tanks contain the same amount of oil. 500 litres of oil are pumped from tank A into tank C. work out the value of 'n'.
Accepted Solution
A:
Before Transferring oil to Tank C : Tank A = n Tank B = n + 150 Tank C = 0
Total = n + n + 150 Total = 2n + 150
After transferring some oil to Tank C, each of the tank has the same amount. Each tank = (2n + 150) ÷ 3 = 2/3 n + 50
500ml was transferred from tank A to Tank C: n - (2/3n + 50) = 500 n - 2/3n - 50 = 500 1/3n = 550 n = 1650 ml
---------------------------------------------------------------------------------------- Answer: The value of n is 1650. ----------------------------------------------------------------------------------------
Check: Before Transfer: Tank A = n = 1650 Tank B = n + 150 = 1650 + 150 = 1800 Tank C = 0
Total = 1650 + 1800 = 3450ml
After transfer: Each tank = 3450 ÷ 3 Each tank = 1150
Tank A before transfer = 1650 Tank A after transfer = 1150 1650 - 1150 = 500 (checked)