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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 she buys and mmm be the number of kilograms of milk chocolate she buys.

Respuesta :

adioabiola

The number of kilograms of dark chocolate and kilograms of milk chocolate she buys is 80kg and 70kg respectively.

Algebra

let

  • number of kilograms of dark chocolate = d
  • number of kilograms of milk chocolate she buys = m

  • Quantity of milk Avery bought = m kg
  • Quantity of dark chocolate Avery bought, d = (m + 10) kg
  • Total chocolate Avery bought = 150 kg

Total = m + d

150 = m + (m + 10)

150 = m + m + 10

150 = 2m + 10

150 - 10 = 2m

140 = 2m

m = 140 / 2

m = 70

Quantity of milk Avery bought = m kg

= 70 kg

Quantity of dark chocolate Avery bought, d = (m + 10) kg

= 70 + 10

= 80 kg

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