SOLUTION: A barrel was exactly 2/3 full of wine. The publican took out 1 litre less than 1/2 of its contents. Then he returned and took out 1 litre less than 1/3 of what remained. He had 15

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Question 1133214: A barrel was exactly 2/3 full of wine. The publican took out 1 litre less than 1/2 of its contents. Then he returned and took out 1 litre less than 1/3 of what remained. He had 15 litres l left.
How many litres did the barrel hold?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A barrel was exactly 2/3 full of wine.
The publican took out 1 litre less than 1/2 of its contents.
Then he returned and took out 1 litre less than 1/3 of what remained.
He had 15 litres l left.
How many litres did the barrel hold?
:
let w = no. liters in the wine barrell
:
"A barrel was exactly 2/3 full of wine.
2%2F3w
The publican took out 1 litre less than 1/2 of its contents.
1%2F2*2%2F3w
1%2F3w + 1 left
Then he returned and took out 1 litre less than 1/3 of what remained.
so 2/3 remains
2%2F3(1%2F3w+1) + 1 = 15
2%2F9w + 2%2F3 + 1 = 15
2%2F9w = 15 - 12%2F3
2%2F9w = 131%2F3
2%2F9w = 40%2F3
multiply both sides by 9
2w = 3(40)
2w = 120
w = 120/2
w = 60 liters the capacity of the barrel