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At a certain company, the ratio of male to female employees
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17 Aug 2018, 17:11
17 Aug 2018, 17:11
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Question Stats:
96% (00:44) correct
3% (00:35) wrong based on 51 sessions
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At a certain company, the ratio of male to female employees is 3 to 4. If there are 5 more female employees than male employees, how many male employees does the company have?
(A) 12
(B) 15
(C) 18
(D) 21
(E) 24
(A) 12
(B) 15
(C) 18
(D) 21
(E) 24
Re: At a certain company, the ratio of male to female employees
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14 Oct 2019, 21:26
14 Oct 2019, 21:26
The ratio of male to female employees is 3 : 4. Introduce the unknown multiplier x, making the number of males 3x and the number of females 4x, where x is a positive integer.
Now translate the second sentence of the problem into algebra. “There are 5 more female employees than male employees” becomes Females – Males = 5, or 4x – 3x = 5. Solve for x:
4x – 3x = 5
x = 5
Finally, substitute into the expression for the number of male employees: 3x = 3(5) = 15. There are 15 male employees.
Using backsolving:
B)15:15+5=15:20= 3:4 (divide both side by 5)
Now translate the second sentence of the problem into algebra. “There are 5 more female employees than male employees” becomes Females – Males = 5, or 4x – 3x = 5. Solve for x:
4x – 3x = 5
x = 5
Finally, substitute into the expression for the number of male employees: 3x = 3(5) = 15. There are 15 male employees.
Using backsolving:
B)15:15+5=15:20= 3:4 (divide both side by 5)
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Re: At a certain company, the ratio of male to female employees
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21 May 2021, 03:52
21 May 2021, 03:52
Simply 4x-3x= 5 and plugging the value of x in 3x gives no of male employee, 15.
