Alan G. answered • 03/30/16

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Let x be the amount invested in the International Fund. Then, 10000-x is the amount invested in the Real Estate Fund.

The interest earned on each fund it found using the formula I = Prt, where P is the principal, i the interest rate expressed as a decimal, and t the time in years.

The sum of the interest earned on both accounts adds up to $430.10, so you can set up an equation,

.052x + .021(10000 - x) = 430.10 .

To solve this, distribute over the parentheses, collect like terms, clear the decimals by multiplying by 1000, then use algebra to finish:

.052x + 210 - .021x = 430.10

.031x = 220.10

31x = 220100

x = 220100/31 = 7100.

This means that $7100 was invested at 5.2% and $2900 invested at 2.1%.