Part-Part-Whole Ratios

• I can solve problems when I know a total amount.

• I can create tape diagrams to help me reason about problems involving a ratio and a total amount.

By Jennifer Vogt

​Part-Part-Whole Ratios and Solving Problems

Multiple Choice

Click on the reference photo and then decide if the equation is true or false.

• True

• False

Multiple Choice

Click on the reference photo and then decide if the equation is true or false.

• True

• False

Multiple Choice

Click on the reference photo and then decide if the equation is true or false.

• True

• False

Multiple Choice

Click on the reference photo and then decide if the equation is true or false.

• True

• False

Polypad – The Mathematical Playground

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​https://polypad.amplify.com/p

Draw

Workbook page.

Draw

A recipe for maroon paint says, "mix 5 ml of red paint with 3 ml of blue paint"

Draw

Part-Part-Whole Ratios

Multiple Choice

If the original recipe is for one batch of maroon paint (5 red : 3 blue : 8 maroon), how many batches are in 80 ml of maroon paint? Explain your reasoning.

• 5 batches

• 7 batches

• 10 batches

Labelling

How is a part-part-whole ratio shown in this tape diagram?

Label each part and the whole.

Drag labels to their correct position on the image

part 2

whole

part 1

Dropdown

What ratio does this tape diagram represent?



The ratio of blue to yellow paint is ​ ​

Select answer

Draw

Solve the following problem and show your thinking with a tape diagram that represents the situation.

The ratio of students wearing sneakers to those wearing boots is 5 to 6. If there are 33 students in the class, and all of them are wearing either sneakers or boots, how many of them are wearing sneakers?

Draw

Solve the following problem and show your thinking with a tape diagram that represents the situation.

A recipe for chicken marinade says, "Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice.” If you need 42 cups of marinade in all, how much of each ingredient should you use?

Draw

Solve the following problem and show your thinking with a tape diagram that represents the situation.

Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. If a larger batch of fruit punch includes 30 cups of apple juice, how much cranberry and grape juice should you use? How large is this batch of fruit punch?

Draw

The owner of a summer camp is planning a field trip to the aquarium. The aquarium requires 2 counselors for every 15 kids. The owner plans accordingly and orders a total of 85 tickets.

Directions: Use one of the three representations below to determine how many tickets are for chaperones and how many are for kids.