Question
Lauren in 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?
Step 1
We know that the total amount of mimosas is 15 liters, so we can write the first equation as: \[x + y = 15\] Show more…
Show all steps
Your feedback will help us improve your experience
Jay Patel and 53 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A scientist needs 65 liters of a $15 \%$ alcohol solution. She has available a $25 \%$ and a $12 \%$ solution. How many liters of the $25 \%$ and how many liters of the $12 \%$ solutions should she mix to make the $15 \%$ solution?
Systems of Linear Equations
Solve Mixture Applications with Systems of Equations
Elena mixes 5 cups of apple juice with 2 cups of sparkling water to make sparkling apple juice. For a party, she wants to make 35 cups of sparkling apple juice. How much of each ingredient should Elena use? Explain or show your reasoning.
Unit Rates and Percentages
Measuring with Different-Sized Units
Translate to a system of equations and solve. A scientist needs 65 liters of a $15 \%$ alcohol solution. She has available a $25 \%$ and a $12 \%$ solution. How many liters of the $25 \%$ and how many liters of the $12 \%$ solutions should she mix to make the $15 \%$ solution?
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD