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If 65 per cent of a certain firms employees are full-time
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20 Jul 2022, 06:41
20 Jul 2022, 06:41
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Question Stats:
66% (01:33) correct
33% (02:46) wrong based on 3 sessions
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If 65 per cent of a certain firm’s employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?
(A) 8,250
(B) 10,200
(C) 11,050
(D) 16,500
(E) 17,000
(A) 8,250
(B) 10,200
(C) 11,050
(D) 16,500
(E) 17,000
Re: If 65 per cent of a certain firms employees are full-time
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20 Jul 2022, 06:43
20 Jul 2022, 06:43
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Solution -
Let x = the total number of employees
65 per cent of a certain firm’s employees are full-time
This also means that 35 per cent of the employees are part-time
So, 0.65x = the number of full-time employees
And 0.35x = the number of part-time employees
There are 5,100 more full-time employees than part-time employees
In other words: (the number of full-time employees) = (the number of part-time employees) + 5100
Substitute to get: 0.65x = (0.35x) + 5100
Subtract 0.35x from both sides of the equation to get: 0.3x = 5100
Divide both sides by 0.3 to get: x = 17,000
Answer: E
Let x = the total number of employees
65 per cent of a certain firm’s employees are full-time
This also means that 35 per cent of the employees are part-time
So, 0.65x = the number of full-time employees
And 0.35x = the number of part-time employees
There are 5,100 more full-time employees than part-time employees
In other words: (the number of full-time employees) = (the number of part-time employees) + 5100
Substitute to get: 0.65x = (0.35x) + 5100
Subtract 0.35x from both sides of the equation to get: 0.3x = 5100
Divide both sides by 0.3 to get: x = 17,000
Answer: E
gmatclubot
Re: If 65 per cent of a certain firms employees are full-time [#permalink]
20 Jul 2022, 06:43
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