Solving Percent Proportion

I can solve problems involving percentages.

​Percent Proportions

• ​You can use a proportion to solve problems involving percents.

• ​One ratio is the percent. Remember that the percent is always out of 100.

• ​The other ratio is the part-to-whole comparison.

​

​Percent Proportion

Remember to look for key words "is" and "of!"

• ​is = part

• of = whole

  ​

  ​

​

If you don't see these words, it's okay. Think about a real life situation... what is the PART and what is the WHOLE?

Multiple Choice

Which word helps you identify your WHOLE?

• is

• of

Multiple Choice

Which word helps you identify your PART?

• is

• of

Multiple Choice

In a neighborhood, there are 9 families that own a poodle. If these owners make up 50% of all dog owners in the neighborhood, how many dog owners are there?

What part of the percent proportion are you missing? (What is this question asking you to find?)

• Part

• Whole

• Percent

Multiple Choice

At a construction job, there are 15 painters. Of the painters, 40% of them are working on the inside. How many painters are working inside of the building?

What part of the percent proportion are you missing? (What is this question asking you to find?)

• Part

• Whole

• Percent

Multiple Choice

At a construction job, there are 15 painters. Of the painters, 40% of them are working on the inside. How many painters are working inside of the building?

What part of the percent proportion are you missing? (What is this question asking you to find?)

• Part

• Whole

• Percent

Multiple Choice

A campus survey states that 40% of students ride the bus. If there are 300 students, how many ride the bus?

Which proportion could be used to solve this problem?

• $$\frac{x}{100}=\frac{40}{300}$$  

• $$\frac{40}{100}=\frac{300}{x}$$  

• $$\frac{100}{300}=\frac{x}{40}$$  

• $$\frac{40}{100}=\frac{x}{300}$$  

Multiple Choice

A campus survey states that 40% of students ride the bus. If there are 300 students, how many ride the bus?

Which proportion could be used to solve this problem?

• $$\frac{x}{100}=\frac{40}{300}$$  

• $$\frac{40}{100}=\frac{300}{x}$$  

• $$\frac{100}{300}=\frac{x}{40}$$  

• $$\frac{40}{100}=\frac{x}{300}$$  

Multiple Choice

A local zoo had 750 visitors on Saturday. If 80% of the guests lived in the same town as the zoo, how many local guests visited the zoo on Saturday?

Choose the correct proportion to solve this problem.

• $$\frac{80}{100}=\frac{x}{750}$$  

• $$\frac{80}{750}=\frac{x}{100}$$  

​Let's Try To Solve a Word Problem!

...one step at a time!

Multiple Choice

Ms. Smith bought a box of 10 cupcakes. She ate 30% of the cupcakes. How many did she eat?

**What is this question asking you to find?**

• part

• whole

• percent

Multiple Choice

Ms. Smith bought a box of 10 cupcakes. She ate 30% of the cupcakes. How many did she eat?

**What is your WHOLE? (total number of cupcakes)**

• 10

• 30

Multiple Choice

Ms. Smith bought a box of 10 cupcakes. She ate 30% of the cupcakes. How many did she eat?

**What is your PERCENT? (percent of cupcakes eaten)**

• 10

• 30

Multiple Choice

Ms. Smith bought a box of 10 cupcakes. She ate 30% of the cupcakes. How many did she eat?

**What is your PERCENT? (percent of cupcakes eaten)**

• $$\frac{30}{100}=\frac{10}{?}$$  

• $$\frac{30}{100}=\frac{?}{10}$$  

• $$\frac{10}{100}=\frac{30}{?}$$  

• $$\frac{10}{100}=\frac{?}{30}$$  

Fill in the Blank

Ms. Smith bought a box of 10 cupcakes. She ate 30% of the cupcakes. How many did she eat?

**SOLVE!**

​Now try them on your own!

Work out each problem on paper.

​

Remember:

​

Fill in the Blank

70% of the students at a school went on a field trip to an Aquarium. If there were 350 students on the trip, how many students attend that school?

Fill in the Blank

A painter has finished painting 45% of a really long fence. If she has painted 90 feet so far, how long is the entire fence?

Fill in the Blank

If a car’s gas tank has 15 gallons of gas in it, and the gauge says the tank is 75% full, then how many gallons can the entire tank hold?

Fill in the Blank

A fruit stand’s most popular fruit is strawberries, which account for 35% of their total sales. If they usually sell $70 worth of strawberries each day, what would their usual daily income be?