Common Core: 6th Grade Math : Understand the Concept of a Ratio: CCSS.Math.Content.6.RP.A.1

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

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

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

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 #4 : 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 #5 : 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.

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

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 #7 : 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 #8 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

 

 

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 #31 : 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 #31 : 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.

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