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A clothing warehouse that houses $14,000$ garments must replace all damaged and lost garments. If $1.5\%$ of the garments were damaged and $0.6\%$ of the garments were lost, how many garments must the warehouse replace? $\newline$ Choose $1$ answer: $\newline$ (A) $84$ $\newline$ (B) $126$ $\newline$ (C) $210$ $\newline$ (D) $294$

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Probability of simple events

Full solution

Q. A clothing warehouse that houses

14,000

garments must replace all damaged and lost garments. If

1.5\%

of the garments were damaged and

0.6\%

of the garments were lost, how many garments must the warehouse replace?

\newline

Choose

1

answer:

\newline

(A)

84

\newline

(B)

126

\newline

(C)

210

\newline

(D)

294

Calculate damaged garments: Calculate the number of damaged garments. To find the number of damaged garments, we multiply the total number of garments by the percentage that were damaged. Number of damaged garments $=$ Total garments $*$ Percentage of damaged garments $= 14,000 \times 1.5\% = 14,000 \times 0.015$
Perform damaged garments calculation: Perform the calculation for the number of damaged garments. $\newline$ Number of damaged garments = $14,000 \times 0.015$ $\newline$ = $210$
Calculate lost garments: Calculate the number of lost garments. $\newline$ To find the number of lost garments, we multiply the total number of garments by the percentage that were lost. $\newline$ Number of lost garments $=$ Total garments $*$ Percentage of lost garments $\newline$ $= 14,000 * 0.6\%$ $\newline$ $= 14,000 * 0.006$
Perform lost garments calculation: Perform the calculation for the number of lost garments. $\newline$ Number of lost garments = $14,000 \times 0.006$ $\newline$ = $84$
Calculate total garments to replace: Calculate the total number of garments to replace. $\newline$ To find the total number of garments to replace, we add the number of damaged garments to the number of lost garments. $\newline$ Total garments to replace $=$ Number of damaged garments $+$ Number of lost garments $\newline$ $= 210 + 84$
Perform total garments calculation: Perform the calculation for the total number of garments to replace. $\newline$ Total garments to replace = $210 + 84$ $\newline$ = $294$

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