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Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 
60% of his collection.
How many toy cars does Samuel have?
toy cars

Samuel has a collection of toy cars. His favorites are the 2727 red ones, which make up 60% 60 \% of his collection.\newlineHow many toy cars does Samuel have?\newlinetoy cars

Full solution

Q. Samuel has a collection of toy cars. His favorites are the 2727 red ones, which make up 60% 60 \% of his collection.\newlineHow many toy cars does Samuel have?\newlinetoy cars
  1. Understand the problem: Understand the problem.\newlineWe know that 2727 red toy cars make up 60%60\% of Samuel's collection. We need to find the total number of toy cars in his collection.
  2. Write as decimal: Write 60%60\% as a decimal.\newline60%=60100=0.6060\% = \frac{60}{100} = 0.60
  3. Set up equation: Set up the equation to find the total number of toy cars.\newlineLet the total number of toy cars be TT.\newlineAccording to the problem, 60%60\% of TT equals 2727.\newlineSo, 0.60×T=270.60 \times T = 27
  4. Solve for T: Solve for T.\newlineDivide both sides of the equation by 0.600.60 to isolate TT.\newlineT=270.60T = \frac{27}{0.60}
  5. Calculate total: Calculate the total number of toy cars.\newlineT=270.60=45T = \frac{27}{0.60} = 45