Question

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

Answer 1

10 liters of orange juice, 5 liters of champagne

Explanation:

We can call the amount of orange juice and champagne as x and 15 - x liters respectively. Then, we can write the following equation:

1.50 * x + 12 * (15 - x) = 5 * 15

1.5x + 180 - 12x = 75

-10.5x + 180 = 75

-10.5x = -105

x = 10 so 15 - x = 15 - 10 = 5.