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A clothing company took a random sample of its T-shirt sales and found that 
(2)/(5) of the T-shirts sold in the sample were size medium. If the sample is representative of all Tshirts sold by the company, approximately how many of the 
25,448T-shirts sold were size medium?
Choose 1 answer:
(A) 5,090
(B) 10,180
(c) 15,270
(D) 20,360

A clothing company took a random sample of its T-shirt sales and found that 25 \frac{2}{5} of the T-shirts sold in the sample were size medium. If the sample is representative of all T \mathrm{T} shirts sold by the company, approximately how many of the 2525,448448 T-shirts sold were size medium?\newlineChoose 11 answer:\newline(A) 55,090090\newline(B) 1010,180180\newline(C) 1515,270270\newline(D) 2020,360360

Full solution

Q. A clothing company took a random sample of its T-shirt sales and found that 25 \frac{2}{5} of the T-shirts sold in the sample were size medium. If the sample is representative of all T \mathrm{T} shirts sold by the company, approximately how many of the 2525,448448 T-shirts sold were size medium?\newlineChoose 11 answer:\newline(A) 55,090090\newline(B) 1010,180180\newline(C) 1515,270270\newline(D) 2020,360360
  1. Problem Understanding: Understand the problem.\newlineWe are given that 25\frac{2}{5} of the T-shirts sold were size medium. We need to find out how many T-shirts that represents out of a total of 25,44825,448 T-shirts sold.
  2. Calculating Medium T-shirts: Calculate the number of medium T-shirts.\newlineTo find the number of medium T-shirts, we multiply the total number of T-shirts sold by the fraction that represents the medium size.\newlineCalculation: (25)×25,448(\frac{2}{5}) \times 25,448
  3. Performing Multiplication: Perform the multiplication.\newlineNow we perform the multiplication to find the number of medium T-shirts.\newlineCalculation: (25)×25,448=2×(25,4485)(\frac{2}{5}) \times 25,448 = 2 \times (\frac{25,448}{5})
  4. Dividing by 55: Divide 25,44825,448 by 55.\newlineBefore multiplying by 22, we divide 25,44825,448 by 55 to simplify the calculation.\newlineCalculation: 25,4485=5,089.6\frac{25,448}{5} = 5,089.6
  5. Multiplying by 22: Multiply the result by 22.\newlineNow we multiply the result from Step 44 by 22 to find the number of medium T-shirts.\newlineCalculation: 5,089.6×2=10,179.25,089.6 \times 2 = 10,179.2
  6. Rounding to Nearest Whole Number: Round to the nearest whole number.\newlineSince we cannot have a fraction of a T-shirt, we round the result to the nearest whole number.\newlineCalculation: Round 10,179.210,179.2 to 10,17910,179

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