On a certain day 1/4 of the employees of an office were away on a vacation and 1/8 away on a official leave.If 270 were present, how many employees compose the office forced ?
2007-06-25 14:08:27 · 7 answers · asked by jonathanaljomargonzales 1 in Science & Mathematics ➔ Mathematics
x - number of total employees
x(1/4) + x(1/8) + 270 = x
270 = (5/8)x
x = 432
2007-06-25 14:15:21 · answer #1 · answered by yeeeehaw 5 · 0⤊ 0⤋
employees left at the office = (1 - 1/4 -1/8) of the total employees
= 5/8 of the employees in total
given that 5/8 th of the employees = 270
so, total employees = 270/(5/8) = 432
2007-06-25 21:14:01 · answer #2 · answered by Mock Turtle 6 · 0⤊ 0⤋
The fraction of employees left behind is:
1 - (1/4) - (1/8) = (8 - 2 - 1)/8 = 5/8
If 270 = (5/8)T (T is the total number of employees), then
T = (8/5)(270) = 432
2007-06-25 21:22:20 · answer #3 · answered by Anonymous · 0⤊ 0⤋
since 3/8 are away, 5/8 of the company is present, so 5/8*total number of people=270. Then the total number of people would be 270*8/5=432
2007-06-25 21:17:53 · answer #4 · answered by lxl_fro_lxl 2 · 0⤊ 0⤋
1-1/4-1/8=8/8-2/3-1/8=5/8 of the employes were there
(5/8)x=270 multiply both sides by 8
5x=2160 divide by 5
x=432 total employees
270 present
108 were on vacation
54 were away on official leave
2007-06-25 21:16:26 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
5/8 of the employees were left, so 8/5(270)=432 all together.
2007-06-25 21:14:58 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Let total staff be x
(1/4).x on vacation
(1/8).x on leave
Total out of office = (3/8).x
Total in office = (5/8).x
(5/8).x = 270
5x = 2160
x = 432
Office force is 432
2007-06-29 17:49:16 · answer #7 · answered by Como 7 · 0⤊ 0⤋