Amounts Invested

[Guest]

A, B, C, and D invest $s. B invests m times as much as A, C as much as A and B combined, and D as much as C and B combined. Determine the amount each invests.

Answers given with problem:

A: s / 3 + 4m

B: ms / 3 + 4m

C: s(1 + m) / 3 + 4m

D: s(1 + 2m) / 3 + 4m

How do I solve ?

[Vicenta]

A invests x amount of money.
B invests mx;
C invests mx+x;
D invests (mx)+(mx+x)=2mx+x.

The sum of their investments is stated as s dollars.
x+(mx)+(mx+x)=(2mx+x)=s
Solve this for x but it will be IN TERMS OF s.

x+mx+mx+x+2mx+x=s
3x+4mx=s
x(3+4m)=s
x=s/(3+4m)

Solution here:
https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq
and here
http://yourhomeworkhelp.org/math-tests/algebra-tests/

[Guest]

Thanks.