[tex]x + y + z = 94 \\ x \div y = 3 \div 5 \\ y \div z = 4 \div 3 \\ \\ x + y + z = 94 \\ 5x - 3y = 0 \\ 3y - 4z = 0 \\ \\ x + y + z = 94 \\ x = 0.6y \\ 3y - 4z = 0 \\ \\ 0.6y + y + z = 94 \\ 3y - 4z = 0 \\ \\ 1.6y + z = 94 \: \: | \times 4 \\ 3y - 4z = 0 \\ \\ 6.4y + 4z = 376 \\ 3y - 4z = 0 \\ \\ 6.4y + 3y = 376 \\ 9.4y = 376 \\ y = 376 \div 9.4 \\ y = 40 \\ \\ x = 0.6 \times 40 = 24 \\ \\ 1.6 \times 40 + z = 94 \\ 64 + z = 94 \\ z= 94 - 64 \\ z = 30[/tex]

Ответ: 24 ; 30 ; 40