Name_________________________________________________________
CCSS
A.REI.6
Date __________
Mixtures
You want to make a 5 gallon mixture that contains 3 times more iced tea than
lemonade by volume.
1. Write a system of equations that represents the situation.
2. How many gallons of each do you need to make?
3. The labels show directions on how to make iced tea and lemonade using
scoops of powder mix. Rather than making each separately, you add scoops
of each to 5 gallons of water. How many scoops of each do you need?
Iced Tea
Mix
1 scoop
2 scoops
8 scoops
Water
2 cups
1 quart
1 gallon
Copyright © Big Ideas Learning, LLC
All rights reserved.
Lemonade
Mix
1 scoop
2 scoops
4 scoops
Water
1 quart
½ gallon
1 gallon
Big Ideas Math
Performance Tasks
9
CCSS
A.REI.6
A.REI.6
Common Core State Standard
Solve systems of linear equations exactly and approximately (e.g.,
with graphs), focusing on pairs of linear equations in two variables.
CCSS
A.REI.6
Grading Rubric
Answers
Score
1. Sample answer: Let x be the number of gallons of iced tea and let
y be the number of gallons of lemonade.
x = 3y
2
x+ y = 5
2. 3.75 gallons of iced tea and 1.25 gallons of lemonade
2
3. 30 scoops of iced tea mix and 5 scoops of lemonade mix
2
Precision
1. Student defines variables and writes a system of equations.
1
2. Student solves the system and interprets the solutions.
2
3. Student uses the answers in Exercise 2 to determine the numbers
of scoops needed.
Total Points
10
Big Ideas Math
Performance Tasks
1
10
Copyright © Big Ideas Learning, LLC
All rights reserved.