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Avery uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She wants to buy 10 kg more of dark chocolate than milk chocolate, and she needs 150 kg of chocolate in total for her next order.

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Final answer:

Avery needs to buy 70 kg of milk chocolate and 80 kg of dark chocolate.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say that the amount of milk chocolate Avery buys is x kg. Since she wants to buy 10 kg more dark chocolate than milk chocolate, the amount of dark chocolate she buys will be x + 10 kg.

The total amount of chocolate she needs is 150 kg, so we can write the equation: x + (x + 10) = 150.

Simplifying this equation, we get 2x + 10 = 150. Subtracting 10 from both sides of the equation, we have 2x = 140. Finally, dividing both sides by 2, we find that x = 70.

Therefore, Avery needs to buy 70 kg of milk chocolate and 70 + 10 = 80 kg of dark chocolate.

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