Solving Percent Word Problems with Equivalent Ratios

This video tutorial introduces the concept of percent word problems and demonstrates how to solve them using proportions. It begins with an explanation of what percent means, breaking down the word into 'per' (to divide) and 'cent' (100). The tutorial then provides several examples, including Sand's math test, Andrew's homework, Bryson's lawn mowing, Alandria's math test, and Henry's book reading, to illustrate how to set up and solve percent problems using proportions. Each example involves identifying the part, whole, and percent, and solving for the unknown using cross-multiplication. The video concludes with encouragement to practice solving percent problems.

What does the word 'percent' mean?

• Out of 10

• Out of 100

• Out of 50

• Out of 1000

In a proportion used to solve percent problems, what is always the same?

• The number 100

• The percent

• The whole

• The part

If Sand has answered 20 questions and completed 10% of his test, how many questions are on the test?

• 50

• 100

• 200

• 150

What is the first step in solving a percent word problem using proportions?

• Cross-multiplying

• Identifying the missing value

• Dividing by 100

• Multiplying by 100

If you know the part and the percent, how do you find the whole in a proportion?

• Divide the part by the percent

• Multiply the part by 100 and divide by the percent

• Divide the percent by the part

• Multiply the part by the percent

Andrew has answered 5 questions and completed 20% of his homework. How many questions are on his homework?

• 20

• 15

• 25

• 30

Bryson has mowed 15 out of 25 lawns. What percent of lawns does he have left to mow?

• 40%

• 60%

• 50%

• 30%

In a proportion, if the part is 10 and the whole is 25, what is the percent?

• 25%

• 40%

• 50%

• 60%

If Alandria scored 85% on a test with 30 questions, how many questions did she get correct?

• 25.5

• 24

• 26

• 25

Henry has read 120 pages of his 150-page book. What percent of the book does he have left to read?

• 40%

• 10%

• 20%

• 30%