Question

Avery uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She wants to buy 10kg more of dark chocolate than milk chocolate, and she needs 150kg of chocolate in total for her next order. Let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate she buys. Which system of equations represents this situation?

Answer 1

`\left\{\begin{array}{l}d=m+10\\ \\m+d=150\end{array}\right.`

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

`d=m+10`

She needs 150 kg of chocolate in total for her next order, so

`m+d=150`

Hence, the following system of two equations represents this situation:

`\left\{\begin{array}{l}d=m+10\\ \\m+d=150\end{array}\right.`