Question

Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100 kg of chocolate in total for his next order. Dark chocolate costs $12 per kilogram, milk chocolate costs $10 per kilogram, and he wants to spend $1120 total. Let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate he buys. Which system of equations represents this situation? Choose 1 answer:

Answer 1

Answer is in the picture

Explanation:

I got it right on Kahn Academy, hope this helps :)

Answer 2

`\left\{\begin{array}{l}d+m=100\\ 12d+10m=1,120\end{array}\right.`

Explanation:

Let d be the number of kilograms of dark chocolate Michael buys and m be the number of kilograms of milk chocolate he buys.

Michael needs to buy 100 kg of chocolate in total for his next order, then

`d+m=100`

Dark chocolate costs $12 per kilogram, then d kg cost $12d.

Milk chocolate costs $10 per kilogram, then m kg cost $10m.

Michael wants to spend $1,120 total, so

`12d+10m=1,120`

We get the system of two equations:

`\left\{\begin{array}{l}d+m=100\\ 12d+10m=1,120\end{array}\right.`