college algebra

I'm completely drawing a blank on how to do this.

A woman has $500,000 invested into two real estate properties. One yields an annual return on 12% and the other returns 15% per year on her investment. Her total annual return from the two investments is $64,500. If X represents 12% investment and Y represents 15% investment...

a. write an equation that states that the sum of the investments is equal to $500,000

x+y=500,000

b. What is the annual return on the 12% investment?

c. What is the annual return on the 15% investment?

d. write an equation that states the sum of the annual returns is $64,000.

12x+15y=64,500

e. solve the problem simultaneously to find how much is invested in each property.

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asked by Jess
  1. b) .12x
    c).15y

    d) your equation should say
    .12x + .15y = 64500
    times 100
    12x + 15y = 6450000
    divide it by 3
    4x + 5y = 2150000
    first equation times 4
    4x + 4y = 2000000
    subtract them:
    y = 150,000
    then x = 350,000

    check:
    .12(350000) + .15(150000) = 64500

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    posted by Reiny

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