Vial contains 0.96g powder.
Proportion is used to show how quantities and amounts are related to each other. The amount that quantities change in relation to each other is governed by proportion rules.
A direct and inverse proportion are used to show how the quantities and amount are related to each other. They are also mentioned as directly proportional or inversely proportional. The symbol used to denote the proportionality is ‘∝‘. For example, if we say, a is proportional to b, then it is represented as “a ∝ b” and if we say, a is inversely proportional to b, then it is denoted as ‘a∝1/b’
The given question is the example of direct variation.
Powder volume ∝ Liquid volume
∴ We can apply cross multiplication method
Let powder volume be x
1g→ 10ml
x→ 9.6ml
cross multiplying
1 x 9.6 = 10 x [tex]x[/tex]
x = 0.96 g
Thus Vial contains 0.96g powder.
Learn more about direct and inverse proportion here :
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