Applications of Linear Equations A distance question: – Steve travels 80 miles in the same time it takes Mary to travel 180 miles. Mary travels at a rate.

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Presentation transcript:

Applications of Linear Equations A distance question: – Steve travels 80 miles in the same time it takes Mary to travel 180 miles. Mary travels at a rate of 50 miles per hour faster than Steve. – Find each person’s rate of speed.

Applications of Linear Equations The Working Together Question – Rob and Bob are painting a house. If they were working alone, it would take Rob twice as long to paint the house as Bob. But, working together, they could paint the house in 2 days. – Find the amount of time it would take each painter to paint this house on his own.

Applications of Linear Equations The Mixture Question: – Melvin the mad scientist needs a 20% solution of rubbing alcohol. In the lab, he has a 15% solution and a 30% solution. – How many liters of 15% solution should be added to 3 liters of the 30% solution to create a 20% solution?

Applications of Linear Equations The Investment Question – Sara Lee wants to invest $14,000 for retirement. She plans to invest part of the money in 6% bonds, and part of the money in the stock market. – At the end of one-year, her stock market fund came in with a 9% return and her total interest earned from the 2 investments was $1005. – Find the amount she had originally invested in each product.