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[wail_poet]

عندما مزج حجمين متماثلين نطيق قانون كثافة المخلوط
pmix = (pa x ratio + pb x ratio) ÷ sum of ratio
4 = paxV + pbxV ÷ 2V

so pa + pb = 8 ===============> 1
when we add similar masses the relative density = 3
Mmix = Ma + Mb but Mmix = 2 Ma
2 x pa x Va = 3 Vmix
so Va = 3 Vmix/2pa ==============> 2
but 2Mb also = Mmix
2 pb (Vmix - Va) = 3 Vmix
from 2
2pb (vm - 3vm/2pa) = 3 Vm
2pb(2pa x vm - 3vm)/ 2 pa = 3Vm
pb(2pa x vm - 3vm)/ pa = 3Vm by dividing over Vm
pb (2pa - 3)/ pa = 3
pb (2pa - 3) = 3 pa ====> from 1

pb ( 16- 2pb - 3) = 3 ( 8 - pb)
16 pb - 2 pb^2 - 3 pb = 24 - 3pb

so 16 pb - 2 pb^2 - 24 = 0
2 pb^2 - 16 pb + 24 = 0
(2pb -4) ( pb - 6) = 0
so pb = 2 or 6 and
pa = 6 or 2

[ابراهيم صقر]

المشاركة الأصلية كتبت بواسطة wail_poet

عندما مزج حجمين متماثلين نطيق قانون كثافة المخلوط
pmix = (pa x ratio + pb x ratio) ÷ sum of ratio
4 = paxV + pbxV ÷ 2V

so pa + pb = 8 ===============> 1
when we add similar masses the relative density = 3
Mmix = Ma + Mb but Mmix = 2 Ma
2 x pa x Va = 3 Vmix
so Va = 3 Vmix/2pa ==============> 2
but 2Mb also = Mmix
2 pb (Vmix - Va) = 3 Vmix
from 2
2pb (vm - 3vm/2pa) = 3 Vm
2pb(2pa x vm - 3vm)/ 2 pa = 3Vm
pb(2pa x vm - 3vm)/ pa = 3Vm by dividing over Vm
pb (2pa - 3)/ pa = 3
pb (2pa - 3) = 3 pa ====> from 1

pb ( 16- 2pb - 3) = 3 ( 8 - pb)
16 pb - 2 pb^2 - 3 pb = 24 - 3pb

so 16 pb - 2 pb^2 - 24 = 0
2 pb^2 - 16 pb + 24 = 0
(2pb -4) ( pb - 6) = 0
so pb = 2 or 6 and
pa = 6 or 2

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