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Mixing Paint

Mixing Paint. Rational Equations. Paint Mixing.

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Mixing Paint

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  1. Mixing Paint Rational Equations

  2. Paint Mixing 1) You have a 12 pint mixture of paint that is made up of equal amounts of blue paint and yellow paint. You need to create a special shade of green for your art class project. The special shade of green is 80% yellow. How many pints of yellow paint do you need to add to the mixture? Solve this problem by using a rational equation. Start with a verbal model. Now use Cross-Products to solve.

  3. Use a Rational Equation. • What if you needed a paint mixture that is 75% yellow? How many pints of yellow paint would you need to add to the mixture? • What if you needed a paint mixture that was 20% yellow? How many pints of yellow paint would you need to add? What is the problem with this answer? What is another way to approach this problem and create a mixture that is 20% yellow by still using a rational equation?

  4. Other methods to solve the paint mixture problem. Use a different method to solve the following mixture problem. • You have a mixture of paint that is made up of 4 pints of yellow and 8 pints of blue paint. How many pints of yellow need to be added to get a 75% yellow mixture? • What if we wanted a 50% mixture? Now that you have tried different methods, which do you prefer and why?

  5. Use rational equations to solve the following problems. • Batting average is calculated by dividing the number of hits by the number of times at bat. A player has been at bat 90 times and has a batting average of .200. How many consecutive hits would the player need to raise the average to .250? • A basketball player has made 40% of 30 free throw attempts so far. How many consecutive free throws must he make to raise his percent to 50? To 60?

  6. Extension Write a problem that can be solved by using a rational equation. Use cross products to solve it.

  7. Solutions Ans: y= 18 pints Ans: y= 12 pints Ans: y= - 4.5 pints (this works mathematically but not in the real world) So we should solve for blue Ans: b= 18 pints Ans: 20 pints of yellow Ans: 4 pints of yellow

  8. Solutions (continued) • Let x = original number of hits • substitutex = 18 into proportion • Let h = number of • Additional hits • Ans: h = 6 more hits • Ans: 6 consecutive free throws for 50% and 15 consecutive free throws for 60%.

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