Cassandra invested one part of her $10, 000 a t 7.5$ 820. How much did she invest at each rate?

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Solution

Let $x$ and $y$ x be the amount invested at $7.5 %$ and $8.5 %$ respectively
Income =820 = 7.5\times x + 8.5\times y$
The total amount invested is also known
$10, 000 = x + y$
Solve the system of the equations to find $x$ and $y .$
$x =$ 3000\ and\ y = $7000$
As a practice check that $7.5 %$ of 3000 $a n d$ 8.5\% $o f$ $7000$ gives 820$

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Cassandra invested one part of her 10,000at7.5820. How much did she invest at each rate?

Let x and yx be the amount invested at 7.5% and 8.5% respectivelyIncome =820 = 7.5\times x + 8.5\times y$The total amount invested is also known10,000=x+ySolve the system of the equations to find x and y.x=3000\ and\ y = 7000As a practice check that 7.5% of 3000and8.5\%of 7000 gives 820$

Cassandra invested one part of her $10, 000 a t 7.5$ 820. How much did she invest at each rate?