1 / 5

Painting Mixture Problem Solution - Find the Amounts of Cyan Paint and Paint Mix for Desired Mix

Solve a mixture problem related to painting different shades of colors by mixing different percentages of primary colors. Calculate the quantities of pure cyan paint and a yellow and cyan paint mix to combine for a specific desired paint mixture.

klillian
Download Presentation

Painting Mixture Problem Solution - Find the Amounts of Cyan Paint and Paint Mix for Desired Mix

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Example 3 ( ) 100% Solve a mixture problem PAINTING Different shades of paint color are formed by mixing different percents of two or more primary colors such as cyan (blue) and yellow. Suppose you want to paint your room with a paint mixture that is 40% yellow and 60%cyan. How many pints of pure cyan paint and a 50% yellow and 50% cyan paint mix should be combined to make 12 pints of a 40% yellow and 60% cyan paint mix?

  2. Equation 1: Total number of pints of mixture x + y = 12 Example 3 Solve a mixture problem STEP 1 Write a linear system. Let x be the amount of 100% cyan paint, and let y be the amount of the 50% yellow and 50% cyan paint mix.

  3. Equation 2: Total number of pints of cyan paint + = 0.6 STEP 2 Solve the system of equations. ( ) 12 Write Equation 1. Write Equation 2. x x + + 0.5y y 7.2 12 = = 0.5 1 y x • • 0.5y 4.8 Subtract Equation 2 from Equation 1. = y 9.6 Solve for y. = Example 3 Solve a mixture problem

  4. Substitute 9.6 for y in Equation 1. x + 9.6 12 = Subtract 9.6 from each side. ANSWER Mix 2.4 pints of the 100% cyan paint and 9.6 pints of the 50% yellow and 50% cyan paint mix to get 12 pints of a 40% yellow and 60% cyan paint mix. x 2.4 = Example 3 Solve a mixture problem Substitute 9.6 for y in Equation 1 and solve for x.

  5. Guided Practice ANSWER 7.2 pt of pure cyan, 4.8 pt of the 50% yellow and 50% cyan mix for Example 3 3. WHAT IF?In Example 3, suppose you want to make 12 pints of a 20% yellow and 80% cyan paint mix. How many pints of pure cyan paint and a 50% yellow and 50% cyan paint mix should be combined?

More Related