Proportion Word Problems Mastery

This video tutorial covers the concept of proportions, explaining how two ratios are equal and how to determine if they form a proportion using cross multiplication. It includes solving proportions with examples, applying them to word problems, and tackling more complex problems. The tutorial emphasizes the importance of consistency in setting up proportions and provides practical examples to illustrate these concepts.

What is a proportion?

• A fraction that is greater than one

• An equation that states two ratios are equal

• A number that can be divided by another number

• A ratio that compares two different units

Which of the following pairs of ratios forms a proportion?

• 3:5 and 6:10

• 2:3 and 4:6

• 5:8 and 10:15

• 7:9 and 14:20

If 12x = 48, what is the value of x?

• 3

• 2

• 5

• 4

Solve for k: 7k = 168

• 20

• 26

• 22

• 24

What is the value of r if 5(r + 6) = 10(r - 1)?

• 8

• 7

• 6

• 9

Pete drove 224 miles in 4 hours. How long would it take him to drive 490 miles at the same rate?

• 8.5 hours

• 8.75 hours

• 9 hours

• 9.25 hours

If 4 out of 5 students have cell phones, how many students out of 365 would you expect to have a phone?

• 294

• 296

• 292

• 298

A 100-ounce jug of laundry detergent can wash 64 loads. How many loads can a 150-ounce jug wash?

• 90

• 92

• 94

• 96

How many cups of milk are needed to make 20 pancakes if 1 1/4 cups are needed for 8 pancakes?

• 2.5 cups

• 3 cups

• 3.5 cups

• 4 cups

If 7 candy bars cost $6.23, how much would 5 candy bars cost?

• $4.55

• $4.60

• $4.50

• $4.45