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The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.
Write an equation that relates 
y, the amount of yellow paint in liters, and 
b, the amount of blue paint in liters, needed to make the Green Goober's special green paint. Do NOT use a mixed number.

The Green Goober, a wildly unpopular superhero, mixes 33 liters of yellow paint with 55 liters of blue paint to make 88 liters of special green paint for his costume.\newlineWrite an equation that relates y y , the amount of yellow paint in liters, and b b , the amount of blue paint in liters, needed to make the Green Goober's special green paint. Do NOT use a mixed number.

Full solution

Q. The Green Goober, a wildly unpopular superhero, mixes 33 liters of yellow paint with 55 liters of blue paint to make 88 liters of special green paint for his costume.\newlineWrite an equation that relates y y , the amount of yellow paint in liters, and b b , the amount of blue paint in liters, needed to make the Green Goober's special green paint. Do NOT use a mixed number.
  1. Identify Total Green Paint: Identify the total amount of green paint made from the yellow and blue paint.\newlineThe Green Goober mixes yellow and blue paint to make green paint. The total amount of green paint made is the sum of the yellow and blue paint used.
  2. Write Equation Relationship: Write the equation that represents the relationship between the amount of yellow paint ( extit{y}), the amount of blue paint ( extit{b}), and the total green paint.\newlineSince the total amount of green paint is the sum of the yellow and blue paint, the equation is:\newlineTotal green paint = Yellow paint + Blue paint\newline88 liters = y+by + b
  3. Rearrange Equation for y: Rearrange the equation to solve for y in terms of b.\newlineTo find the equation that relates y and b, we need to express y in terms of b. We can do this by subtracting b from both sides of the equation:\newliney=8lby = 8 \, \text{l} - b

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