Notam cele trei cantitati cu a,b,c, iar totalul cu t
a = 1/2 x t - 150
b = 3/5 x [t - (1/2 x t - 150)]
c = 452
t = ?
[tex]a + b + c = \frac{1}{2} \times t - 150 + \frac{3}{5} \times (t - ( \frac{1}{2} \times t - 150)) + 452 = t[/tex]
[tex]\frac{1}{2}t + \frac{3}{5} t - \frac{3}{5}( \frac{1}{2} t - 150) + 302 = t[/tex]
Amplificam 1/2t cu 5, si 3/5t cu 2 =>
[tex] \frac{5}{10} t + \frac{6}{10} t - \frac{3}{10} t - \frac{3}{5} \times 150 = t[/tex]
[tex] \frac{8}{10} t - 90 + 302 = t[/tex]
[tex] \frac{4}{5} t + 212 = t[/tex]
[tex] \frac{4}{5} t - t = - 212[/tex]
[tex] \frac{4}{5} t - \frac{5}{5} t = - 212[/tex]
[tex] - \frac{1}{5} t = - 212[/tex]
[tex] \frac{1}{5} t = 212[/tex]
[tex]t = 212 \times 5[/tex]
[tex]t = 1060[/tex]
