UNIT 5: RATIOS AND PROPORTIONS

Definitions(General Form)

100

Ratio

a comparison of quantities expressed in the form x:y:z:...

200

Simpest form

if quantities have only 1 as their common factor

300

Proportion

when quantities increase or decrease in the same ratio

Ratios & Simplest Form

100

Tabitha has 2 apples and 3 oranges. What is the ratio of apples to oranges?

2 : 3

200

Shrek ate 18 slugs while Fiona only ate 3. What is the ratio of slugs Shrek ate to Fiona in simplest form?

6 : 1

300

Luke drank 5-liters of blue milk and Leah drank 600ml. What is the ratio of milk Leah drank to Luke in simplest form?

3 : 25

More Than 2

100

Express 24 : 12 : 28 in simplest form.

6 : 3 : 7

200

Given the ratios x : y = 3 : 4 and y : z = 3 : 7, express x : y : z in simplest form.

9 : 12 : 28

300

Spongebob catches 4 times as many jellyfish as Patrick. Sandy catches 1/2 as many as Spongebob. What is the ratio of jellyfish caught by Patrick to Spongebob to Sandy?

1 : 4 : 2

Word Problems

100

On a sports team, the ratio of the number of boys to girls is 3 : 5. If there are 15 boys on the team, how many girls?

25 girls are on the team.

200

Hobbs is 2.5 times as tall as Calvin. Hobbs is 3 feet taller than Calvin. How tall is Calvin?

Calvin is 2 feet tall.

300

In Mr. Platero's pencil pouch, the ratio of the number of blue pens to red pens is 3 : 2. The ratio of the number of pens to pencils is 4 : 1. If there are 24 red pens, how many pencils are there?

15 pencils.

Proportions

100

The ratio of the number of sharks to minnows in a pond is 2 : 3. If there are 150 minnows, how many sharks are there?

100 sharks

200

Oak Grove and the Berlin are 2400 km apart IRL and 0.5 m on a map. If Oak Grove and Los Angeles were 0.2 m on the map, how far apart are they IRL?

960 km

300

(Surprise! Not actually a proportion problem!)

What's brown and sticky?

A stick