A clothing company took a random sample of its T-shirt sales and found that $\frac{2}{5}$ 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 $25,448$ T-shirts sold were size medium? $\newline$ Choose $1$ answer: $\newline$ (A) $5,090$ $\newline$ (B) $10,180$ $\newline$ (C) $15,270$ $\newline$ (D) $20,360$

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Multiply and divide rational numbers: word problems

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Q. A clothing company took a random sample of its T-shirt sales and found that

\frac{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

25,448

T-shirts sold were size medium?

\newline

Choose

1

answer:

\newline

(A)

5,090

\newline

(B)

10,180

\newline

(C)

15,270

\newline

(D)

20,360

Calculate Medium T-Shirts: Calculate the number of medium T-shirts sold by using the proportion given. $\newline$ We know that $\frac{2}{5}$ of the T-shirts sold were size medium. To find out how many T-shirts that is, we multiply the total number of T-shirts sold by the fraction that represents the medium size. $\newline$ Calculation: $\left(\frac{2}{5}\right) \times 25,448$
Perform Multiplication: Perform the multiplication to find the number of medium T-shirts. $\newline$ Calculation: $(\frac{2}{5}) \times 25,448 = 2 \times 5,089.6$ $\newline$ Since the number of T-shirts must be a whole number, we expect the result to be an integer.
Complete Multiplication: Complete the multiplication. $\newline$ Calculation: $2 \times 5,089.6 = 10,179.2$ $\newline$ Since we cannot have a fraction of a T-shirt, we round to the nearest whole number.
Round to Nearest Whole Number: Round the result to the nearest whole number to find the approximate number of medium T-shirts sold. $\newline$ Calculation: $10,179.2$ is closer to $10,179$ than to $10,180$ when rounding to the nearest whole number.