### All Common Core: 6th Grade Math Resources

## Example Questions

### 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:**

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:**

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 : 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:**

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:**

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.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #2 : 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:**

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.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #3 : 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:**

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.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #7 : Ratios & Proportional Relationships

**Possible Answers:**

**Correct answer:**

Now substitute in the given numbers.

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

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #4 : Grade 6

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:**

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.

Cross multiply and solve for .

Simplify and solve.

### Example Question #5 : Grade 6

**Possible Answers:**

**Correct answer:**

Now substitute in the given numbers.

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

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #31 : Numbers And Operations

**Possible Answers:**

**Correct answer:**

Now substitute in the given numbers.

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

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.