Question

An investor invested a total of 2,100 in two mutual funds. One fund earned a 8%profit while the other earned a 5% profit. if the investors total profit was 129 how muchwas invested in the mutual fund?
The amount investead in the mutual fund earned 8% was=
? The amount investead in the mutual fund earned 5% was=?

Answer 1

@agent0smith can you please help me?

Answer 2

Let x be the amount invested in the 8% fund. (2100-x) will be invested in the 5% fund.

x*8% is the return on the 8% fund. (2100-x)*5% is the return on the 5% fund.
The sum of the two returns is 129. Converting the percentages to decimals, we have

\[x*0.08 + (2100-x)*0.05 = 129\]
Solve that for \(x\) to find the amount invested in the fund that earned 8%. Subtract \(x\) from 2100 to find the amount in the fund that earned 5%.

You might multiply both sides of the equation by 100 as a first step to get rid of the decimals.

Answer 3

would x=2,075.8 @whpalmer4

Answer 4

\[8x + 5(2100-x) = 12900\]
\[8x -5x + 10500 = 12900\]
\[3x = 2400\]
x=?

Answer 5

x=800 @whpalmer4
were did you get 12900 from

Answer 6

nvm i saw my mistake i forgot to multiply 100 to 129 @whpalmer4

Answer 7

when I multiplied both sides by 100

Answer 8

How much is invested in the 5% fund?

Answer 9

is that the 8% answer? @whpalmer4

Answer 10

"Let x be the amount invested in the 8% fund. (2100-x) will be invested in the 5% fund."

Answer 11

1,300 @whpalmer4

Answer 12

Okay, 800 @ 8%, 1300 @ 5%

Answer 13

Thank you so much! those are the answers right? @whpalmer4

Answer 14

800 * 8% = 64
1300 * 5% = 65
64 + 65 = 129
Looks like they are correct.

Answer 15

thank you so so so much! @whpalmer4 time for the next question hehe