Common Core: 6th Grade Math : Find a Percent of a Quantity as a Rate Per 100: CCSS.Math.Content.6.RP.A.3c

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

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Example Questions

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Example Question #1 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

 

Example Question #2 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #3 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #4 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #4 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #6 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #7 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #8 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #5 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

Example Question #10 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are  cars in the parking lot and  of them are red. How many red cars are in the parking lot?

Possible Answers:

Correct answer:

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that  of the cars are red. In other words, for every hundred cars  of them are red. We can write the following ratio:

Reduce.

We know that there are  cars in the parking lot. We can write the following ratio by substituting the variable  for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are  red cars in the parking lot.

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