Answer:
The composition of the allow, in weigh percent, is 89.971 % Titanium, 6.026 % Aluminium and 4.003 % Vanadium.
Explanation:
The weight percentage of a element in an allow is equal to the mass of the element divided by the total mass of the allow and multiplied by 100. Then:
Titanium (Ti)
[tex]\% m_{Ti} = \frac{m_{Ti}}{m_{Ti}+m_{Al}+m_{V}}\times 100\,\%[/tex]
[tex]\%m_{Ti} = \frac{218\,kg}{218\,kg+14.6\,kg+9.7\,kg}\times 100\,\%[/tex]
[tex]\%m_{Ti} = 89.971\,\%[/tex]
Aluminium (Al)
[tex]\% m_{Al} = \frac{m_{Al}}{m_{Ti}+m_{Al}+m_{V}}\times 100\,\%[/tex]
[tex]\%m_{Al} = \frac{14.6\,kg}{218\,kg+14.6\,kg+9.7\,kg}\times 100\,\%[/tex]
[tex]\%m_{Al} = 6.026\,\%[/tex]
Vanadium (V)
[tex]\% m_{V} = \frac{m_{V}}{m_{Ti}+m_{Al}+m_{V}}\times 100\,\%[/tex]
[tex]\%m_{V} = \frac{9.7\,kg}{218\,kg+14.6\,kg+9.7\,kg}\times 100\,\%[/tex]
[tex]\%m_{Al} = 4.003\,\%[/tex]
The composition of the allow, in weigh percent, is 89.971 % Titanium, 6.026 % Aluminium and 4.003 % Vanadium.
