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natali 33 [55]
3 years ago
9

Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 p

er liter. How many liters of orange juice and how many liters of champagne should she use for the mimosas to cost Lauren $5 per liter?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

  • 10 liters of orange juice
  • 5 liters of champagne

Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

  12c +1.50(15-c) = 5.00(15)

  10.5c = 52.50 . . . . . subtract 22.50, simplify

  52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

  15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

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