Jack, George, Henry and Asher shared $1495. Asher received 3/10 of the total amount of money received by Jack, George and Henry. Jack received 3/7 of the total amount for George and Henry. George received 2/3 as much money as Henry. If George gave all his money to Asher, how much did Asher have more than Jack in the end?
Let the amounts received by Jack, George, Henry, and Asher be
j, g, h, and a
Asher received 3/10 of the total amount of money received by Jack, George and Henry
----> a = (3/10)(j+g+h)
Jack received 3/7 of the total amount for George and Henry
---> j = (3/7)(g+h)
George received 2/3 as much money as Henry
----> g = (2/3)(h)
sub that into j = (3/7)(g+h)
j = (3/7)(2h/3 + h)
7j = 3(2h/3) + h)
7j = 5h
j = 5h/7
sub into a = (3/10)(j+g+h)
a = (3/10)(5h/7 + 2h/3 + h)
10a = 15h/7 + 2h + 3h
10a = 50/7
a = 5/7h
we also know that
j + g + h + a = 1495
5h/7 + 2h/3 + h + 5h/7 = 1495
times 21
15h + 14h + 21h + 15h = 31395
65h = 31395
h = 483
ok, your turn
find a, j, and g, and you will have the correct splits
The last part of the question now becomes trivial, since you know
all the parts.