### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #21 : Ratio And Proportion

Phil invites sixty friends from his current school, thirty-five of whom are girls, to his birthday party; he also invites his two female cousins. Phil wants the ratio of girls to boys at the party to be two to one, so he decides to also invite some girls from his old school. How many new girls will he need to invite, assuming he does not invite anyone else?

**Possible Answers:**

**Correct answer:**

So far, there are 37 girls - 35 classmates and 2 cousins - and 26 boys - 25 classmates and Mike himself. For the ratio of girls to boys to be 2 to 1, the number of girls must be twice the number of boys, or girls. Mike will need more girls.

### Example Question #1 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Write as a unit rate: revolutions in minutes

**Possible Answers:**

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

**Correct answer:**

revolutions per minute

Divide the number of revolutions by the number of minutes to get revolutions per minute:

,

making revolutions per minute the correct choice.

### 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:**

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:**

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:**

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 #24 : Ratio And Proportion

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 #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.

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 #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:**

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

**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 #22 : 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:**

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.

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