Practice with Ratio Tools Class Work - MATHEMATICS 6-7

Name: _________________________________________ HR: _________ Date: _____________________
Practice with Ratio Tools Class Work
A. The Moon and Stars
Sharonda makes necklaces
for her friends. This is a
popular design she makes with
star-shaped beads and moonshaped beads.
Sharonda wants to make a longer necklace with beads in the same pattern. If she plans to use 36
moon beads, how many star-shaped beads will she need? Show your work below:
Answer: __________________________________
B. Lemonade
Here is a lemonade recipe. (The cup marked “L” is one cup of lemon juice. The cup marked “W” is one
cup of water.)
L
L
L
W
W
How many cups of lemon juice are needed for a batch of lemonade that has a total of 75 cups? Show
your work below:
Answer: __________________________________
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
C. Skate Park
City officials in Boston are considering building a skate park under the Zakim bridge. Because it is
so expensive they surveyed residents to see if there is interest in the park. For every one person
opposed to the skate park there were two people in favor of it. In all, 4,500 people were surveyed.
How many were in favor of the new skate park? Show your work below:
Answer: __________________________________
D. Salad Dressing
It is easy and inexpensive to make your own delicious salad dressing at home. The ratio of
vegetable oil to vinegar is always the same no matter how much dressing you make.
a. Complete the table.
Vegetable oil (in tbsp)
Vinegar (in tbsp)
9
3
12
4
Total Dressing (in tbsp)
5
7
27
b. If you use 24 tbsp of vegetable oil, how many total tbsp of salad dressing can you make? Show
any additional work below:
Answer: __________________________________
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
Name: _________________________________________ HR: _________ Date: _____________________
Expert Group A – Solution Description
A. The Moon and Stars
Sharonda makes necklaces
for her friends. This is a
popular design she makes with
star-shaped beads and moonbeads.
shaped
Sharonda wants to make a longer necklace with beads in the same pattern. If she plans to use 36
moon beads, how many star-shaped beads will she need? Show your work below:
Answer: __________________________________
Explain how to solve the problem. Use bullet points to organize what you will say to your
group.

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
Name: _________________________________________ HR: _________ Date: _____________________
Expert Group B – Solution Description
B. Lemonade
Here is a lemonade recipe. (The cup marked “L” is one cup of lemon juice. The cup marked “W” is one
cup of water.)
L
L
L
W
W
How many cups of lemon juice are needed for a batch of lemonade that has a total of 75 cups? Show
your work below:
Answer: __________________________________
Explain how to solve the problem. Use bullet points to organize what you will say to your
group.

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
Name: _________________________________________ HR: _________ Date: _____________________
Expert Group C – Solution Description
C. Skate Park
City officials in Boston are considering building a skate park under the Zakim bridge. Because it is
so expensive they surveyed residents to see if there is interest in the park. For every one person
opposed to the skate park there were two people in favor of it. In all, 4,500 people were surveyed.
How many were in favor of the new skate park? Show your work below:
Answer: __________________________________
Explain how to solve the problem. Use bullet points to organize what you will say to your
group.

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
Name: _________________________________________ HR: _________ Date: _____________________
Expert Group D – Solution Description
D. Salad Dressing
It is easy and inexpensive to make your own delicious salad dressing at home. The ratio of
vegetable oil to vinegar is always the same no matter how much dressing you make.
a. Complete the table.
Vegetable oil (in tbsp)
Vinegar (in tbsp)
9
3
12
4
Total Dressing (in tbsp)
5
7
27
b. If you use 24 tbsp of vegetable oil, how many total tbsp of salad dressing can you make? Show
your work below:
Answer: __________________________________
Explain how to solve the problem. Use bullet points to organize what you will say.

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
Name: _________________________________________ HR: _________ Date: _____________________
Expert Group D – Solution Description
Challenge Extension Problems
c. Look at the table you created. Can you write an equation to represent the relationship
between oil and vinegar? Here are some food ratios to practice first. Every number is in
tablespoons.
Custard
Recipe
Milk
8
Sausage
Recipe
Egg
Meat
2
6
4
9
18
10
16
Egg
Milk
Sugar
40
2
12
3
3
80
4
6
100
M=
5
24
7
M = 2E
Cream Sauce
Recipe
Oil
Fat
8
Mayonnaise
Recipe
7
O=
6
32
M=
Can you write an equation for the oil and vinegar in the salad
dressing recipe?
Dressing Recipe
Oil
Vinegar
9
3
12
4
O = ____________________
d. Graphing: You can also use the numbers from your table to plot
the relationship between oil and vinegar. Try it!
5
7
27
O=
Recipe Reference: Ratio by Michael Ruhlman
MA_Ratios_Lesson06_Classwork.doc
Oil
Vinegar
Using TDs & RTs to solve ratio problems
Name: _________________________________________ HR: _________ Date: _____________________
Practice with Ratio Tools Homework
A. Shower Tiles
Here is a pattern for shower tiles that Mrs.
to have installed in her bathroom.
Clarkson would like
1. What is the ratio of gray tiles to white tiles in the pattern? Write your answer in lowest terms.
________________
2. What is the ratio
of gray tiles to total tiles? ____________
Write your answer in lowest terms.
3. What is the ratio of white tiles to total tiles? ____________
Write your answer in lowest terms.
4. The entire shower contains 810 tiles. How many white tiles does it have? Use the tape diagram
tool or the ratio table tool to find your answer. Show your work below:
Answer: _________________________
5. If Mrs. Clarkson would like the area behind her bathroom sink tiled with the same pattern it will
require 135 tiles. How many gray tiles would it require? Use the tape diagram tool or the ratio table
tool to find your answer. Draw the diagram below:
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems
B. The Piano
Write all of your responses in lowest terms.
Answer: ________________________
1. What is the ratio of white keys to black keys on the
keyboard?
________________
2. This pattern of keys is repeated on larger keyboards.
How many black keys would you expect to find on a
keyboard with 56 white keys?
Show your work:
Answer: ___________________
3. What is the ratio of black keys to all keys on this keyboard?
________________
4. How many black keys would you expect to find on a keyboard
with 72 keys in all?
Show your work:
Answer: ___________________
C. Compost
Angela made some compost using 1 part coffee grounds, 6 parts food waste, 12 parts leaves, and 7
parts grass. She wants to adjust the mix so that it is 1/3 food waste. Which adjustment will work?
a.
b.
c.
d.
Add 2 more parts food waste and 2 more parts grass.
Add 4 more parts food waste.
Add 5 more parts food waste.
Add 4 more parts food waste and 4 more parts leaves.
Show your work:
MA_Ratios_Lesson06_Classwork.doc
Using TDs & RTs to solve ratio problems