Invested Amount

Algebra

Invested Amount

Postby Guest » Thu Feb 18, 2021 11:48 pm

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.
Guest
 

Re: Invested Amount

Postby Baltuilhe » Fri Feb 19, 2021 2:33 pm

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)

Baltuilhe
 
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Re: Invested Amount

Postby Guest » Fri Feb 19, 2021 3:27 pm

Good Afternoon!

Ok, Thanks again.
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