Solving with Proportions

​Ratios and Proportions Introduction

​Ratio Reminders

• ​Ratios can be written with colons or as fractions

• ​Double-check to make sure your in the same measurements

​Proportions

• ​Two or more ratios are equivalent

• ​"Proportional" means that both ratios should reduce to the same faction.

​Solving Proportions

• ​Notice that once you are done, the ratios reduce to the same faction and the cross-products are equal (900 = 900)

Multiple Choice

Solve: $$\frac{9}{36}=\frac{x}{24}$$  

• x=6

• x=1/6

• x=7

• x=9

Multiple Choice

Solve $$\frac{8}{x}=\frac{12}{30}$$  

• x= 15

• x=11

• x=20

• x=1/11

Multiple Choice

Solve  $$\frac{2}{5}=\frac{x}{65}$$  

• x=16

• x=26

• x=1/26

• x=28

Multiple Choice

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

• 480 mi

• 1,960 miles

• 84 miles

• 25 miles

Multiple Choice

The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 10 loads of dishes?

• 75 Gal

• 85 Gal

• 80 Gal

• 100 Gal

Multiple Choice

A label printer prints 7 labels in 3.4 seconds. How long will it take to print 56 pages of labels?

• 27.20

• 29.20 sec

• 31.20 sec

• 30.20 sec

Multiple Choice

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

• 200 miles

• 40 miles

• 10 miles

• 120 miles

​Lesson Wrap-Up

• ​Introduced proportions and ratios

• ​Monday - Start Unit 5 (Units and Unit Prices)

• ​Tuesday Quiz on Units and Unit Prices