Question 1042532

Reference question 1042438:

I have found the problem with answers:

A: s / 3 + 4m
B: ms / 3 + 4m
C: s(1 + m) / 3 + 4m
D: s(1 + 2m) / 3 + 4m

I am unsure how to solve.  Thanks again.
<pre>Let amount A invests be A
Then amount B invests = mA
Amount C invests = A + mA
Amount D invests = mA + A + mA, or 2mA + A

We then get: A + mA + A + mA + 2mA + A = s
3A + 4mA = s
A(3 + 4m) = s
A, or amount A invests = {{{highlight_green(s/(3 + 4m))}}}

Amount B invests: {{{m * s/(3 + 4m)}}} =======> {{{highlight_green(ms/(3 + 4m))}}}
Amount C invests: {{{s/(3 + 4m) + ms/(3 + 4m)}}} ======> {{{(s + ms)/(3 + 4m)}}} ======> {{{highlight_green(s(1 + m)/(3 + 4m))}}}
Amount D invests: {{{2 * ms/(3 + 4m) + s/(3 + 4m)}}} =======> {{{2ms/(3 + 4m) + s/(3 + 4m)}}} =======> {{{(2ms + s)/(3 + 4m)}}} ======>  {{{highlight_green(s(2m + 1)/(3 + 4m))}}}