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# Solving Problems using Proportions

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## Elyse Weltmer

on 24 March 2013

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#### Transcript of Solving Problems using Proportions

How are proportions used to solve problems? Using Proportions to Solve Problems Shopping Medicine Speed Size Step 1: Set-up the structure. Step 2: Read the Problem - Underline what you must find. Step 3: What does it compare? Step 4: Circle what you know. Step 5: One unit on the top,
the other on the bottom. Step 6: Fill in what you know. Step 7: Cross multiply to find the equation. Step 8: Solve and label your final answer. Step 1: Set -up the Structure. Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Step 2: Read the problem- Underline what you must find. Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? _________ = _________ Step 3: What does it compare? Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? _________ = _________ Step 4: Circle what you know. _________ = _________ _________ = _________ _________ = _________ _________ = __________ Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Step 5: One unit on the top,
the other on the bottom Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Step 6: Fill in what you know. Miles Hours Step 7: Cross multiply to find the equation. Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? _________ = __________ Hours Miles 50 200
2 x Step 8: Solve and label your final answer. _________ = __________ 50 200
2 x Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Miles Hours 50x = 400 Kerri, and Sequoya can buy 3 bags of chocolate from Giant for \$10. How many bags of chocolate can they buy for \$40? Step 1: Set-up the structure.

Step 2: Read the problem - Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know. Step 1: Set-up the structure.

Step 2: Read the problem - Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know. Brenan and Kameron are competing to see who can make the most 3-point shots. If Kameron makes 8 3-point for every 24 shots he takes, how many 3-pointers can he make in 64 shots? Autumn and Kelcie are creating a collage of pictures. They have one picture that is 10 inches long and 6 inches wide. How wide would the picture be if they reduced the length to 6 inches? Step 1: Set-up the structure.

Step 2: Read the problem - Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know. Kerri, and Sequoya can buy 3 bags of chocolate from Giant for \$10. How many bags of chocolate can they buy for \$40? Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. Brenan and Kameron are competing to see who can make the most 3-point shots. If Kameron makes 8 3-pointers for every 24 shots he takes, how many
3-pointers can he make in 64 shots? Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. _________ = _________ _________ = _________ Autumn and Kelcie are creating a collage of pictures. They have one picture that is 10 inches long and 6 inches wide. How wide would the picture be if they reduced the length to 6 inches? Step 1: Set-up the structure.

Step 2: Read the problem -
Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know.

Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. Step 1: Set-up the structure.

Step 2: Read the problem -
Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know.

Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. Miss W needs to give her dog medicine. The label says to give 5 tablespoons of medicine for a 5 pound dog. At this rate, how many tablespoons should Miss W give to her 80 pound dog? Mike and Kyle want to buy cupcakes for their friends. If they can buy 12 cupcakes for \$8, how many cupcakes can they buy for \$20? Sports Proportion Problem Stations You will work with your table partners to complete the stations.

You will get 5 minutes to solve each problem using the flow chart.