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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\,\text{kg}10kg10, start text, k, g, end text more of dark chocolate than milk chocolate, and she needs 150\,\text{kg}150kg150, start text, k, g, end text of chocolate in total for her next order. Let ddd be the number of kilograms of dark chocolate he buys and mmm be the number of kilograms of milk chocolate she buys.

Respuesta :

Answer: she needs to buy 80kg of

dark chocolate and 70kg of milk chocolate.

Step-by-step explanation:

Let d represent the number of kilograms of dark chocolate that she buys.

Let m represent be the number of kilograms of milk chocolate that she buys.

She wants to buy 10g more of dark chocolate than milk chocolate. This means that

x = y + 10

She needs 150kg of chocolate in total for her next order. This means that

x + y = 150 - - - - - - - - - - - --1

Substituting x = y + 10 into equation 1, it becomes

y + 10 + y = 150

2y + 10 = 150

2y = 150 - 10 = 140

y = 140/2 = 70

x = y + 10 = 70 + 10

x = 80

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