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Lian's dog eats 
(1)/(20) of a bag of dog food each week. Lian currently has 
(5)/(8) of a bag remaining.
How many weeks will it take Lian's dog to finish this remaining food?
weeks

Lian's dog eats 120 \frac{1}{20} of a bag of dog food each week. Lian currently has 58 \frac{5}{8} of a bag remaining.\newlineHow many weeks will it take Lian's dog to finish this remaining food?\newlineweeks

Full solution

Q. Lian's dog eats 120 \frac{1}{20} of a bag of dog food each week. Lian currently has 58 \frac{5}{8} of a bag remaining.\newlineHow many weeks will it take Lian's dog to finish this remaining food?\newlineweeks
  1. Identify Consumption and Remaining: Identify the amount of dog food consumed each week and the remaining amount of dog food.\newlineLian's dog eats (120)(\frac{1}{20}) of a bag each week, and there is (58)(\frac{5}{8}) of a bag remaining.
  2. Calculate Weeks to Finish: Calculate the number of weeks it will take for the dog to finish the remaining food by dividing the remaining amount by the weekly consumption.\newlineNumber of weeks == Remaining amount of food // Weekly consumption\newlineNumber of weeks =(58)÷(120)= (\frac{5}{8}) \div (\frac{1}{20})
  3. Perform Division: Perform the division by multiplying the remaining amount by the reciprocal of the weekly consumption.\newlineNumber of weeks = (58)(201)(\frac{5}{8}) * (\frac{20}{1})\newlineNumber of weeks = 520/85 * 20 / 8\newlineNumber of weeks = 1008\frac{100}{8}
  4. Simplify Calculation: Simplify the calculation to find the number of weeks. Number of weeks = 12.512.5

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