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In a certain company, the ratio of the number of managers to the number of production - line workers is 5 to 72. If 8 additional production - line workers were to be hired, the ratio of the number of managers to the production - line workers would be 5 to 74. How many managers does the company have ?

110
220
325
430

Answer:- 1

Explanation:-

Solution:

Let the number of managers and production - line workers be 5x and 72x respectively. Then,

\begin{aligned} = \frac{5 x}{72 x + 8} = \frac{5}{74} \\ \Rightarrow 370 x = 360 x + 40 \\ \Rightarrow 10 x = 40 \\ \Rightarrow x = 4. \end{aligned}

$\eqalign{ & = \frac{{5x}}{{72x + 8}} = \frac{5}{{74}} \cr & \Rightarrow 370x = 360x + 40 \cr & \Rightarrow 10x = 40 \cr & \Rightarrow x = 4. \cr}$ ∴ Number of managers = 5 × 4 = 20

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∴ Number of managers = 5 × 4 = 20 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the number of managers and production - line workers be 5x and 72x respectively. Then,

\begin{aligned} = \frac{5 x}{72 x + 8} = \frac{5}{74} \\ \Rightarrow 370 x = 360 x + 40 \\ \Rightarrow 10 x = 40 \\ \Rightarrow x = 4. \end{aligned}

$\eqalign{ & = \frac{{5x}}{{72x + 8}} = \frac{5}{{74}} \cr & \Rightarrow 370x = 360x + 40 \cr & \Rightarrow 10x = 40 \cr & \Rightarrow x = 4. \cr}$ ∴ Number of managers = 5 × 4 = 20 ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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