Common Core: 6th Grade Math : Solve Unit Rate Problems: CCSS.Math.Content.6.RP.A.3b

Example Questions

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Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #2 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #4 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #2 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #3 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #7 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #8 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #9 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

Example Question #10 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

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