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

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All Common Core: 6th Grade Math Resources

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Example Questions

Example Question #11 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

Candidate A receives votes for every vote that candidate B receives. At the end of the election candidate B has 900 votes. How many votes did candidate A get?

Possible Answers:

100

1800

900

2700

300

Correct answer:

2700

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.

$A:B\rightarrow\frac{A}{B}$

Now substitute in the given numbers.

$3:1\rightarrow \frac{3}{1}$

We know that candidate B received 900 votes. Write a new ratio.

$A:900\rightarrow\frac{A}{900}$

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

$\frac{3}{1}=\frac{A}{900}$

Cross multiply and solve for .

1(A)=900(3)

Simplify and solve.

A=2700

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Example Question #12 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

Candidate A receives votes for every vote that candidate B receives. At the end of the election candidate B has 134 votes. How many votes did candidate A get?

Possible Answers:

338

389

893

938

839

Correct answer:

938

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.

$A:B\rightarrow\frac{A}{B}$

Now substitute in the given numbers.

$7:1\rightarrow \frac{7}{1}$

We know that candidate B received 134 votes. Write a new ratio.

$A:134\rightarrow\frac{A}{134}$

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

$\frac{7}{1}=\frac{A}{134}$

Cross multiply and solve for .

1(A)=134(7)

Simplify and solve.

A=938

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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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #11 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

Example Question #12 : Understand The Concept Of A Ratio: Ccss.Math.Content.6.Rp.A.1

All Common Core: 6th Grade Math Resources

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