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Corey bought 
2(1)/(2) liters of paint for 
$60.
What was the cost per liter of paint?

$

Corey bought 212 2 \frac{1}{2} liters of paint for $60 \$ 60 .\newlineWhat was the cost per liter of paint?\newline$ \$

Full solution

Q. Corey bought 212 2 \frac{1}{2} liters of paint for $60 \$ 60 .\newlineWhat was the cost per liter of paint?\newline$ \$
  1. Identify total amount and cost: Identify the total amount of paint bought and the total cost.\newlineCorey bought 2(12)2\left(\frac{1}{2}\right) liters of paint for $60\$60.\newlineTotal amount of paint bought = 2(12)2\left(\frac{1}{2}\right) liters\newlineTotal cost = $60\$60
  2. Convert total amount of paint to improper fraction: Convert the mixed number to an improper fraction to simplify calculations.\newline2(12)2\left(\frac{1}{2}\right) liters can be written as 2×2+12=52\frac{2 \times 2 + 1}{2} = \frac{5}{2} liters.
  3. Calculate cost per liter: Calculate the cost per liter by dividing the total cost by the total amount of paint in liters.\newlineCost per liter = Total costTotal amount of paint\frac{\text{Total cost}}{\text{Total amount of paint}}\newlineCost per liter = $6052\frac{\$60}{\frac{5}{2}} liters
  4. Perform calculation: Perform the division to find the cost per liter.\newlineCost per liter = $6052\frac{\$60}{\frac{5}{2}}\newlineCost per liter = $60×25\$60 \times \frac{2}{5}\newlineCost per liter = $24\$24

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