Question

I need help with this equation please help me work through it!

Mario has invested a certain amount of money in stocks and bonds. The annual return on these investments is $730. If the stocks produce $180 more in annual returns than the bonds, how much money does Mario receive per year from each type of investment?

Answer 1

x+180+x=730, where x is the return from the bonds.

Answer 2

if you call the amount invested in stocks \(x\) then the amount invested in bonds is \(x-180\) and you know the total is \(730\) so you can solve
\[x+x-180=730\] is one way
@Numb3r1 has another, where \(x\) is the amount invested in bonds
there are many ways to solve

Answer 3

okay but @satellite73 what do i do after that?

Answer 4

rewrite as
\[2x-180=730\] and solve for \(x\) in two steps
1) add \(180\) to both sides, then
2) divide both sides by \(2\)

Answer 5

Solve for x and substitute it into the stocks and bonds' values.

Answer 6

i got \[x= 455\]

Answer 7

now what should i do?

Answer 8

@satellite73 can you help me? idk what to do next..

Answer 9

You used his formula, so x is the larger value and x-180 is the smaller.

Answer 10

x is the stocks' return, and x-180 is the return from the bonds.

Answer 11

so 455-180?

Answer 12

455 from the stocks, what you said from the bonds.

Answer 13

what?

Answer 14

when i subtracted 455 from 180 i got 275 is that right? @Numb3r1

Answer 15

You've got it!

Answer 16

ohhhh okay thank you! :) @Numb3r1