Question 213023
by weight, the ratio of chlorine to sodium in table salt is 35.46 to 23.00. How much sodium is contained in 50.00kg or salt? Has to be set up as an appropriate proportion and then be solved.
:
Let x = amt of sodium in 50 kg
then
(50-x) = amt of chlorine in 50 kg
;
A ratio equation:
{{{35.46/23}}} = {{{(50-x)/x}}}
cross multiply
35.46x = 23(50-x)
35.46x = 1150 - 23x
35.46x + 23x = 1150
58.46x = 1150
x = {{{1150/58.46}}}
x = 19.67 kg of sodium
;
:
check:
Chlorine: 50 - 19.67 = 30.33
:
23/35.46 = .6486
19.67/30.33 = .6485; close enough