Question

you invest a total of $13750 in two companies (part in SLW and part in STDY). After one year the SLW investment increases by 6.4% and the STDY investment increases by 3.9%. How much was invested in STDY if the TOTAL increase in the initial investment was 6.2%

Answer 1

so if the total increase of the initial investment (from both companies? or just from this one) is 6.2%; then ....

Answer 2

so 6.2 =....

Answer 3

am i right so far?

Answer 4

x + y = 13750

x(6.4%) + y(3.9%) = 13750(6.2%)

we good with this so far?

Answer 5

yea
and i can take it from there

Answer 6

i can just use the elimination method right?

Answer 7

id rename it SLW and STDY just to be on the safe side :)

Answer 8

elimination is when you canel out one variable...it might be an option; but usually I just solve for one of the top variables and sustitute it into the bottom one.

Answer 9

that would be easier :)

Answer 10

x + y = 13750

y = 13750 - x
---------------------------

x(.064) + y(.039) = 13750(.062)

x(.064) + (13750 - x)(.039) = 13750(.062)

Answer 11

solve for "x" and then back it up for "y"

Answer 12

right. i will tell you what i get, one minute

Answer 13

i got 1.59 for x
now about to plug back in for y

Answer 14

i think i did something wrong thats REALLY small

Answer 15

ok....ill double check your work :)

Answer 16

im lost

Answer 17

x = 12650

Answer 18

i multiplied everything

Answer 19

and got
.064x + 536.25x = 852.5

Answer 20

solved for x and got 1.59 (rounded)
but that doesnt work when i solve for y

Answer 21

x(.064) + (13750 - x)(.039) = 13750(.062)

.064x -.039x + 536.25 = 852.50

.025x = 316.25

x = 316.25/.025

x = 12650

Answer 22

OHH i didn't distribute the .039 properly

Answer 23

can you just clarify for me and show me kinda step by step how you set up the two equations? based off of the word problem?

Answer 24

I can..if your still around

Answer 25

yes

Answer 26

There are 2 companies that you invest a certain number of dollars in: one company get s "x" amount of dollars and the other gets "y" amount of dollars.

the amount invested into both companies has to equal 13750.

x + y = 13750

Answer 27

right

Answer 28

We know that each company has a different interest rate that they pay so we set this up accordingly

we know that x amount of dollars gets us 6.4% and y amount of dollars gets us 3.9%.

We are also told that the total amount of interest earned from all the monies invested was 6.2%.

Answer 29

interest earned is a simple calcultion; it is amount of money times interest rate. plain and simple.

x(6.4%) + y(3.9%) = 13750(6.2%) right?

Answer 30

yes, ok i get it i just wanted to reinforce it

Answer 31

ok :)