Melissa,Don,and Charlotte all work at the same company.Charlotte works twice as many hours as Melissa per week.Don works 12 hours more per week than Melissa.Together,all three people work a total of 92 hours per week. How many hours per week does Don work?
2007-03-22 03:17:09 · 12 answers · asked by alfred 2 in Science & Mathematics ➔ Mathematics
2m + m + (m+12) = 92
2m + m + m +12 = 92
2m + m + m = 92-12
4m = 80
m=20
Melissa: 20 hours
Don: 32 hours
Charlotte: 40 hours
2007-03-22 03:22:10 · answer #1 · answered by Xiomy 6 · 1⤊ 0⤋
Let C, M, D denote Charlotte, Melissa, Don respectively.
According to the question,
C=2M and D=M+12 also C+M+D=92
therefore, by putting values of C and D we get,
2M+M+M+12=92
4M+12=92
4M=92-12
4M=80
M=80/4
M=20
therefore, D=M+12
D=32 =answer
2007-03-22 10:27:01 · answer #2 · answered by Anonymous · 2⤊ 0⤋
Ok, the one factor we don't know here is Melissa's. So let x be number of hours Melissa works.
So, since Don works 12 hours more than Melissa, number of hours he works is : x+12
Charlotte works twice as many hours as Melissa, so number of hours Charlotte works is : 2x
Since the total number of hours they work is 92, add all their working hours.
x + (x+12) + 2x = 92
x + x+ 12 + 2x =92
4x + 12 =92
4x = 92-12
4x = 80
x = 80/4
x = 20
So, Melissa works 20 hours.
Don's hours = 20 +12 = 32
Answer: 32 hours.
2007-03-22 15:16:14 · answer #3 · answered by gamma_wave 3 · 0⤊ 0⤋
Don works 32 hours/week
2007-03-22 10:24:14 · answer #4 · answered by wonski81 2 · 0⤊ 0⤋
92-12=80
80/4=20
20+12=32
don works for 32 hours.
draw a model :) it helps
2007-03-22 10:21:14 · answer #5 · answered by pigley 4 · 1⤊ 0⤋
(M) + (M+12) + (2M)=92
M=MELISSA
M+12=DON
2M=CHARLOTTE
COMBINE YOUR M'S
4M+12=92
4M-12=92-12
4M=80
4M/4=80/4
M=20
MELISSA WORKS 20 HOURS
DON WORKS 20+12 OR 32 HOURS
AND CHARLOTTE WORKS 2*20 HOURS OR 40 HOURS
20+32+40=92
2007-03-22 10:33:27 · answer #6 · answered by Carol D 5 · 0⤊ 0⤋
I think the answer is Melisa works 20 hrs Charlotte works 40 hrs and Don works 32 10 Points please lol hope this helps
2007-03-22 10:22:02 · answer #7 · answered by Edward W 3 · 1⤊ 0⤋
using initials, both M & D work the same amount, if we subtract 12 from the total.
so 3 ppl work 80 hrs
Charlotte works twice as much, so count her as 2
M & D & C & C =80
Melissa works 20
Don works 20 + 12 or 32
Charlotte works 40
all slackers...I work around 55
2007-03-22 10:21:25 · answer #8 · answered by ? 4 · 1⤊ 1⤋
i got it Don has 32
and Melissa has 20
and Charlotte haas 40
it took me a whilw though
2007-03-22 10:31:44 · answer #9 · answered by Dianaaaaa♥ 2 · 0⤊ 0⤋
don works 33 hours
melissa works 21,
charlotte works 42.
don= x+12
m= x
c= 2x
(x+12) + x + 2x = 96
4x +12 = 96
4x= 84
x= 21
2007-03-22 10:22:31 · answer #10 · answered by smcopeland16 3 · 0⤊ 3⤋