Writing Ratios
Simplifying Ratios
Tape Diagrams
Picture Ratios
100

There are 16 girls in drama. There are 8 boys in drama.


What is the part-part ratio of girls to boys?

16:8

100

Jada purchased 36 roses for $12. What is the simplified ratio of roses to money?

3:$1 or 3 roses to $1

100

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

$9; $18

100

What is the part-whole ratio of Joe's stamp collection to the entire stamp collection?

4:10

200

Mr. Dennis ordered pizza for all the students. For every 5 pizzas, 3 were pepperoni. The rest were cheese.

What is the part-whole ratio of cheese pizza to all pizza?

2:5

200

Ms. Chen scored 12 free throws out of 20 attempts.


What is the simplified part-part ratio of shots made to shots missed?

3:2

200

Rebecca reads 2 books every 3 weeks. Create a tape diagram that represents the ratio of books to weeks.

Visual Check

200

The recipe above calls for what ratio of baking soda to lemon juice?

1/4 : 1 or .24:1

300

Henry can run 1 mile every 6 minutes.


What is the ratio of miles per minute in both ratio and fraction form. (Must have both answers correct.)

1:6

1/6 

300

There are 1,550 students that attend McAuliffe. There are 75 teachers at McAuliffe.

What is the simplified part-whole ratio of students to staff members at McAuliffe?

63:3 or 63 students to 3 teachers

300

Lowes is making a special fall color that calls for 2 parts yellow, 1 part red, and 3 parts orange. Create a tape diagram to answer the following:

If Lowes uses 15 gallons of orange paint, how much yellow paint is used?

How much red paint is used?

(Both answers must be correct for credit.)

10 gallons or yellow paint; 5 gallons of red paint

300

Kate has 80 liters of juice while Jill has 20 liters of juice. What is the SIMPLIFIED ratio of Jill's Juice to Katie's juice?

1:4

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