Question

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

Answer 1

Let d = kilograms of dark chocolate and m = kilograms of milk chocolate. The system is

d = m + 10
d + m = 150

(Equivalently: d − m = 10 and d + m = 150.)