Common Core: 6th Grade Math : Ratios & Proportional Relationships

Study concepts, example questions & explanations for Common Core: 6th Grade Math

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1 3 4 5 6 7 8 9

Example Question #1 : Grade 6

If candidate A receives  vote for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  vote cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #2 : Ratios & Proportional Relationships

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #1 : Ratios & Proportional Relationships

If candidate A receives  vote for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  vote cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #1 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #1 : Grade 6

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

Reduce.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #1 : Ratios & Proportional Relationships

If candidate A receives  vote for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  vote cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #21 : How To Find A Ratio

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

 

 
Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #21 : How To Find A Ratio

 

 

If candidate A receives  votes for every  vote that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  vote. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify and solve.

Example Question #1 : Ratios & Proportional Relationships

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #1 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

← Previous 1 3 4 5 6 7 8 9
Learning Tools by Varsity Tutors