## Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100\,\text{kg}100

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\,\text{kg}100kg100, start text, k, g, end text of chocolate in total for his next order. Dark chocolate costs \$12$12dollar sign, 12 per kilogram, milk chocolate costs \$10$10dollar sign, 10 per kilogram, and he wants to spend \$1120$1120dollar sign, 1120 total. Let ddd be the number of kilograms of dark chocolate he buys and mmm be the number of kilograms of milk chocolate he buys.

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1 week 2021-11-25T16:12:36+00:00 1 Answer 0 views 0

Michael buys 60 kg of dark chocolate and 40 kg of milk chocolate.

Step-by-step 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.

He needs to buy 100 kg of chocolate in total, then

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 for the chocolate, then

From the first equation

Substitute it into the second equation:

Michael buys 60 kg of dark chocolate and 40 kg of milk chocolate.