Question

Can you guys help? I don't understand how you put it into a two-order system and how to solve it.

A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did he invest at each rate? $_______ at 4% and $________ 3%

Answer 1

his total income
means the sum of the interest from both investments

do you know the formula to the amount of interest you get for P dollars ?

Answer 2

No, that's literally all it gives me

Answer 3

see http://www.wikihow.com/Calculate-Simple-Interest
if they are asking this question, you must have seen this formula (in your notes?)

Answer 4

I = P * r * t
we have to assume t is 1 year ?
r is the interest rate
P is the amount invested

Answer 5

we don't know how much was invested in each, but we know the dollars add up to 5200
call the amount invested at 3% x
and the amount invested at 4% y

x+y= 5200
the interest according to I= P * r * t (with t=1) is
for x: x*0.03
for y: y * 0.04
the interest adds up to 194

0.03x + 0.04y = 194

Answer 6

can you solve this system of equations?
0.03x + 0.04y = 194
x + y = 5200