Invested Amount

[Guest]

A, B, C, and D invest s dollars in a transaction. B invests m times as much as A; C equals as much as A and B together; D equals as much as C and B together. Determine amt. each invests.

A = Bm

C = A + B

D = C + B

Not sure how to proceed.

[Baltuilhe]

Good afternoon!!

[tex]B=mA\\
C=A+B=A+mA=(1+m)A\\
D=C+B=(1+m)A+mA=(1+2m)A\\
A+B+C+D=s\\
A+mA+(1+m)A+(1+2m)A=s\\
A(1+m+1+m+1+2m)=s\\
\boxed{A(3+4m)=s}\Rightarrow
\boxed{
\begin{cases}
A=\dfrac{s}{3+4m}\\\\
B=\dfrac{ms}{3+4m}\\\\
C=\dfrac{(1+m)s}{3+4m}\\\\
D=\dfrac{(1+2m)s}{3+4m}
\end{cases}}[/tex]

Hope to Have Helped! (3H)

[Guest]

Good Afternoon!

Ok, Thanks again.