SOLUTION: 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. Th

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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.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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 amount each invests.


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%2B%28mx%29%2B%28mx%2Bx%29%2B%282mx%2Bx%29=s
Solve this for x but it will be IN TERMS OF s.


x%2Bmx%2Bmx%2Bx%2B2mx%2Bx=s
3x%2B4mx=s
x%283%2B4m%29=s
highlight_green%28x=s%2F%284m%2B3%29%29


Substitute x into the individual investment amounts already listed and simplify.

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

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.
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%28s%2F%283+%2B+4m%29%29
Amount B invests: m+%2A+s%2F%283+%2B+4m%29 =======> highlight_green%28ms%2F%283+%2B+4m%29%29
Amount C invests: s%2F%283+%2B+4m%29+%2B+ms%2F%283+%2B+4m%29 ======> %28s+%2B+ms%29%2F%283+%2B+4m%29 ======> highlight_green%28s%281+%2B+m%29%2F%283+%2B+4m%29%29
Amount D invests: 2+%2A+ms%2F%283+%2B+4m%29+%2B+s%2F%283+%2B+4m%29 =======> 2ms%2F%283+%2B+4m%29+%2B+s%2F%283+%2B+4m%29 =======> %282ms+%2B+s%29%2F%283+%2B+4m%29 ======> highlight_green%28s%282m+%2B+1%29%2F%283+%2B+4m%29%29