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On Monday, a fruit vendor bought 80 pieces of fruit to sell at her market, 
35% of which were apples and the rest of which were oranges. On Tuesday, the vendor bought the same number of oranges, but she only bought 73 pieces of fruit. What percentage of the fruit she bought on Tuesday was apples?
Choose 1 answer:
(A) 
28.8%
(B) 
38.3%
(C) 
65.0%
(D) 
71.2%

On Monday, a fruit vendor bought 8080 pieces of fruit to sell at her market, 35% 35 \% of which were apples and the rest of which were oranges. On Tuesday, the vendor bought the same number of oranges, but she only bought 7373 pieces of fruit. What percentage of the fruit she bought on Tuesday was apples?\newlineChoose 11 answer:\newline(A) 28.8% \mathbf{2 8 . 8 \%} \newline(B) 38.3% 38.3 \% \newline(C) 65.0% 65.0 \% \newline(D) 71.2% 71.2 \%

Full solution

Q. On Monday, a fruit vendor bought 8080 pieces of fruit to sell at her market, 35% 35 \% of which were apples and the rest of which were oranges. On Tuesday, the vendor bought the same number of oranges, but she only bought 7373 pieces of fruit. What percentage of the fruit she bought on Tuesday was apples?\newlineChoose 11 answer:\newline(A) 28.8% \mathbf{2 8 . 8 \%} \newline(B) 38.3% 38.3 \% \newline(C) 65.0% 65.0 \% \newline(D) 71.2% 71.2 \%
  1. Calculate Apples on Monday: Calculate the number of apples bought on Monday. \newline35%35\% of 8080 pieces of fruit are apples.\newlineCalculation: 0.35×80=280.35 \times 80 = 28 apples.
  2. Calculate Oranges on Monday: Calculate the number of oranges bought on Monday. The rest of the fruit are oranges, so subtract the number of apples from the total number of fruit. Calculation: 8028=5280 - 28 = 52 oranges.
  3. Determine Oranges on Tuesday: Determine the number of oranges bought on Tuesday. The vendor bought the same number of oranges on Tuesday as on Monday. Calculation: 5252 oranges.
  4. Calculate Apples on Tuesday: Calculate the number of apples bought on Tuesday.\newlineSubtract the number of oranges bought on Tuesday from the total number of fruit bought on Tuesday.\newlineCalculation: 7352=2173 - 52 = 21 apples.
  5. Calculate Percentage of Apples: Calculate the percentage of apples bought on Tuesday. Divide the number of apples by the total number of fruit bought on Tuesday and multiply by 100100 to get the percentage. Calculation: (21/73)×100=28.7671232877%(21 / 73) \times 100 = 28.7671232877\%.
  6. Round Percentage: Round the percentage to one decimal place to match the answer choices.\newlineCalculation: 28.7671232877%28.8%28.7671232877\% \approx 28.8\%.