Lemonade_Problem_Final

Let’s Make Lemonade
Noah is making lemonade to sell at his lemonade stand.
For each large serving of lemonade, the recipe calls for:
1 cup of frozen lemonade concentrate
2 cups of water
Complete the table for at least 4 servings of lemonade.
Large se
servings of
Lemonade
Cups of Frozen
Lemonade
Concentrate Needed
Needed
Cups of Water
Water
Needed
1
2
3
4
1.
Describe any patterns that you see in the table.
Let’s Make Lemonade
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2.
Noah used 20 cups of frozen lemonade concentrate to make some lemonade. How
much water did he use? How many large servings of lemonade will he make?
Explain how you got your answer.
3.
Noah uses 24 cups of water to make some lemonade. How much frozen lemonade
concentrate did he use? How many large servings of lemonade did he make?
Explain how you got your answer.
4.
Noah has two recipes for making a pitcher of lemonade for use at
home. His Granny’s recipe calls for 2 cups of frozen lemonade
concentrate for every 5 cups of water. His Mom’s recipe calls for 4
cups of frozen lemonade concentrate for every 7 cups of water.
• Using Granny’s recipe, how many cups of lemonade will be
in the pitcher?
• Using Mom’s recipe, how many cups of lemonade will be in the pitcher?
• Which recipe do you think will taste more “lemony”? Why?
Let’s Make Lemonade
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5.
Complete the table below to determine the amount of frozen lemonade
concentrate and water for the given number of pitchers.
Granny’s Recipe
Pitchers
1
2
3
4
5
Water
(cups)
5
Mom’s Recipe
Frozen
Lemonade
Concentrate
(cups)
Water
(cups)
Frozen
Lemonade
Concentrate
(cups)
2
7
4
16
30
2
17.5
6.
For Granny’s recipe, how many cups of frozen lemonade concentrate would Noah
need to make 100 pitchers of lemonade? Explain how you got your answer.
7.
Suppose Noah only had 1 cup of frozen lemonade concentrate. How many
pitchers of lemonade could he make using Granny’s recipe? How many pitchers of
lemonade could he make using Mom’s recipe? Explain how you got your answers.
Let’s Make Lemonade
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8.
Suppose Noah wants to make only 1 cup of lemonade. How much frozen
lemonade concentrate would he need using Granny’s recipe? How much frozen
lemonade concentrate would he need using Mom’s recipe? Explain how you got
your answers.
On the grid below, draw line graphs for the amount of water and
frozen lemonade concentrate for Granny’s recipe and Mom’s
recipe.
Frozen Lemonade Concentrate (cups)
LEMONADE
Water (Cups)
9.
How are the graphs similar? How are they different? Why is one graph “higher”
than the other? Why is one graph “steeper” than the other?
Let’s Make Lemonade
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.
10.
11.
As the amount of frozen lemonade concentrate increases, do the graphs seem to be
farther apart or closer together?
Noah has decided to change Mom’s recipe, decreasing the amount
of frozen lemonade concentrate and keeping the same amount of
water. What effect will this have on the graph? Will the
lemonade taste stronger, weaker, or the same? Explain your
answer.
12.
What if Noah kept the amount of frozen lemonade concentrate the same as Mom’s
original recipe, but decreased the amount of water. What effect will this have on
the graph? Does the lemonade taste stronger, weaker, or the same? Explain your
answer.
13.
What if Noah decreased both the amount of frozen lemonade concentrate and the
amount of water? What effect will this have on the graph? Does the lemonade
taste stronger, weaker, or the same? Explain your answer.
Let’s Make Lemonade
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14.
Write a ratio comparing the amount of frozen lemonade concentrate to the amount
of water for each recipe.
15.
In words, explain what these ratios mean in reference to the taste of the lemonade.
16.
Which recipe would taste more “lemony”? Explain at least two ways you can
choose the more “lemony” recipe.
Other questions I might ask at my grade level:
Let’s Make Lemonade
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