A container filled with sand
weighs 1 kg.
when it is half
Filled, it weighs 5/8 kg. What
is the mass of the empty
Container?
Need step by step explaination.
Answers
Answer:
Depends on the shape of the drum… the amount of water in the bottom half may be a different amount to the amount of water in the top half … taking “half full” to be, the common, filled to half-way up it’s height.
But let’s say that “half full” refers to half the total volume of the drum.
In that case the situation can be worked out more clearly if I translate it to mathematics.
If the weight of the empty drum by itself is D, and the weight of the water when the drum is completely full is W, then:
“A drum full of water weighs 150kg”, translates as:
D + W = 150
“A drum half full of water weighs 90kg”, translates as:
D + W/2 = 90 implies 2D + W = 180
“How much would the drum weigh if it were 3/4 full?”, translates as:
D + 3W/2 = X implies 2D + 3W = 2X
Check: that’s three equations with three unknowns … so everything is, in fact, known.
The question wants you to use algebra to find X.
You could also do it graphically, by plotting the straight lines.
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