Solving Proportions

​Solving Proportions

​solving One step proportions

​How to SOlve a ONE Step Proportion

1. Write a proportion and use x to represent the unknown number. ​

2. Cross Multiply

3. Solve for x. ​

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Solve for the variable. x/32=16/4

1. Cross Multiply

2. Use the Distributive Property.

3. Draw a line down the middle of your equal sign. ​

4. ​Combine your Like Terms.

5. Solve for x.​

​How to SOlve a Multi Step Proportion

​Solving a multi step Proportion

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Solve for the variable. (x-3)/x = 9/10

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Solve for the variable. 6/(b+9) = 4/(b+5)

​Solving a Real World Proportion

​How to solve a real world proportion:

1. ​Write the proportion and let x represent the unknown number.

2. Line up the correct units so that they equal each other. EXAMPLE: apples/dollars= apples/dollars

3. Cross Multiply.

4. Solve for x.​

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​example:

​Serena is making a trail mix for her scout troop. If each scout gets 1.5 cups, how much trail mix does she need for 19 scouts? Write and solve a proportion to find your answer.

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​Scouts / Cups = Scouts / Cups

​

1 Scout / 1.5 Cups = 19 Scouts/ x Cups​

​

1/1.5 = 19/x​

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x=28.5​

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The ratio of boys to girls is 3 boys to 2 girls. If there are 12 boys, how many girls are there?

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At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?