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19 Dec 2024, 01:19
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Department Y: 25
Department Z: 35
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Difficulty:
5%
(low)
Question Stats:
87% (01:21) correct
13%
(01:43)
wrong
based on 383
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Each of the 75 employees at a certain company works in exactly one of the company's 3 departments (Departments X, Y, and Z). Exactly 20% of the employees work in Department X, and 10 fewer employees work in Department Y than work in Department Z.
Based on the information provided, select for Department Y and Department Z the numbers of employees who work in Department Y and Department Z. Make only two selections, one in each column.
Based on the information provided, select for Department Y and Department Z the numbers of employees who work in Department Y and Department Z. Make only two selections, one in each column.
| Department Y | Department Z | |
| 15 | ||
| 20 | ||
| 25 | ||
| 30 | ||
| 35 |
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Official Answer
Department Y: 25
Department Z: 35
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19 Dec 2024, 16:03
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1. Let there be x, y, and z employees working in departments X, Y, and Z, respectively.
2. x = \(20\% * 75 = 15\).
3. x + y + z = 75. We also know that z - y = 10 or z = y + 10.
4. This means that \(x + y + z = 75 \rightarrow 15 + y + y + 10 = 75 \rightarrow 2y = 50 \rightarrow y = 25\). Then z = 35.
5. Our answer will be: Department Y - 25 and Department Z - 35.
2. x = \(20\% * 75 = 15\).
3. x + y + z = 75. We also know that z - y = 10 or z = y + 10.
4. This means that \(x + y + z = 75 \rightarrow 15 + y + y + 10 = 75 \rightarrow 2y = 50 \rightarrow y = 25\). Then z = 35.
5. Our answer will be: Department Y - 25 and Department Z - 35.
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