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Lauren is making 15 liters of mimosas for a brunch banquet. Orange juice cost her $1.50 per liter and champagne cost her $12 per liter. How many liters of orange juice and hire many liters of champagne should she use for the mimosa to cost Lauren $5 per liter?

Respuesta :

Answer:

Step-by-step explanation:

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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