A vessel is full of a mixture of spirit and water?

Question

A vessel is full of a mixture of spirit and water in which there is 17% spirit.

vessel holds 90 litres.


Question :
can we calculate the amount of spirit and water ? how ?

My guess : we said concentration is 17% ..that means in 100 lt water 17 litres spirit and total solution is 100+17=117 litres.

or 17:100 is the spirit and water ratio ...right ?

we know total solution above is 90 litres ,

so spirit is =90*17/117
water is =90*100/117

is this correct ?

Answer 1

Along the right lines, but not correct.

17% spirit means that in 100 liters total, there are 17 litres spirit and (100 - 17) = 83 litres of water

17:100 is the spirit:TOTAL ratio, not the spirit:WATER ratio

spirit is 90 * (17/100)
water is 90 * (83/100)

Answer 2

To make things easier:
In 83 L of water there would be 17 L of spirits = 100%

83% of the solution is water, and 17% is spirits

Answer 3

If the vessel contained 1 liter, then 0.17 liters would be spirit and 0.83 liters would be water.

Since the vessel contains 90 liters, just multiply those amounts by 90.

Spirit = 90 * 0.17 = 15.3 liters
Water = 90 * 0.83 = 74.7 liter.

Hope that helps!