Solving Proportions
(Butterfly Method)
Word Problems
Scale Factors
Ratios
Things to remember
100

2/x + 8/10

x=2.5

100

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?

5

100

A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

4 feet

100

3 ∶ 7 = ___ ∶ 49

21

100

if the answer is higher than 0 it's a __

enlargement

200

x/4 + 3/5

x=2.4

200

One jar of jelly beans costs $2. How many jars can you buy for $4?

2

200

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.

4 feet

200

1 ∶ 2 = 20 ∶ ___

40

200

if the answer is lower than 0 it's a __

reduction

300

5/x + 6/7

x=5.83

300

One cantaloupe costs $2. How many cantaloupes can you buy for $6?

3

300

A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?

9 centimeters

300

1 ∶ 5 = ___ ∶ 50

10

300

on a number line, anything below 0 is a ___ number

negative

400

4/x + 8/9

x=4.5

400

One package of blueberries costs $3. How many packages of blueberries can you buy for $9?

3

400

Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm : 21 km.

63 km

400

7 ∶ 9 = 14 ∶ ___

18

400

on a number line, anything in front of 0 is a ___ number

positive

500

2/x + 5/9

x=3.6

500

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

4 inches

500

Georgetown and Franklin are 9.7 in apart on a map that has a scale of 1.1 in : 15 mi. How far apart are the real cities?

132.3 miles
500

5 ∶ 3 = 45 ∶ ___

27

500

what's a variable?

a thing showed to represent an unknown amount

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