SOLUTION: Three men do a piece of work,the first does 7/15,the second does 5/9 of the reminder while the third does the rest.if the rest done by the third person equal 24 units,find the whol

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Three men do a piece of work,the first does 7/15,the second does 5/9 of the reminder while the third does the rest.if the rest done by the third person equal 24 units,find the whol      Log On


   



Question 1036541: Three men do a piece of work,the first does 7/15,the second does 5/9 of the reminder while the third does the rest.if the rest done by the third person equal 24 units,find the whole piece of work? From Esther.
Found 2 solutions by JBarnum, MathTherapy:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
my first question is which part did Esther do? makes it difficult to solve now doesnt it.
this is simply a work backwards problem if R = remainder then4%2F9 of the remainder is 24 and 1%2F9 of the remainder would be 24%2F4=8
so that 8%285%29=40 and 40=%285%2F9%29R and 24=%284%2F9%29R so 40%2B24=64 and means 64=R
If T = Total then
R=%288%2F15%29T%7D%7D%0D%0A%7B%7B%7B64=%288%2F15%29T multiply by 15
960=8T divide by 8
120=T
so
person 1 did 7/15ths of the work meaning highlight_green+%2856%29 units
Person 2 did 5/9ths of the remainder meaning highlight_green+%2840%29 units
Person 3 did highlight_green+%2824%29 units
which one is Esther....no clue...lol

Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

Three men do a piece of work,the first does 7/15,the second does 5/9 of the reminder while the third does the rest.if the rest done by the third person equal 24 units,find the whole piece of work? From Esther.
Whole piece of work: highlight_green%28matrix%281%2C2%2C+101.25%2C+units%29%29