Answer:
[tex]\left\{\begin{array}{l}d=m+10\\ \\m+d=150\end{array}\right.[/tex]
Step-by-step explanation:
Let d be the number of kilograms of dark chocolate and m be the number of kilograms of milk chocolate Avery buys.
She wants to buy 10 kg more of dark chocolate than milk chocolate, then
[tex]d=m+10[/tex]
She needs 150 kg of chocolate in total for her next order, so
[tex]m+d=150[/tex]
Hence, the following system of two equations represents this situation:
[tex]\left\{\begin{array}{l}d=m+10\\ \\m+d=150\end{array}\right.[/tex]