Let the quantity that Tom will receive be T and Ben's be B.
[tex] \frac{t}{b} = \frac{2}{7} \\ \\t = \frac{2b}{7} \\ \\ t + b = 747 \\ \\ \frac{2b}{7} + b = 747 \\ \\ \frac{9b}{7} = 83 \times 9 \\ \\ b = 83 \times 7 \\ \\ b = 581 \\ \\ t = 747 - 581 \\ \\ t = 166[/tex]
