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# Lydia inherited a sum of money. She split it into five equal chunks. She put 3 parts of the \$ in a bank account which added 10% to the value

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Lydia inherited a sum of money. She split it into five equal chunks. She put 3 parts of the \$ in a bank account which added 10% to the value. She put the rest of her it plus \$500 in the stock market but lost 20% on that money. If the 2 accounts end up with the same amount of \$ in them, how much did she inherit?

Guest May 31, 2015

#1
+93025
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Call "N" the anount that she inherited

Then....in the first situation, she ended up with an amount equal to....

(3/5)N (1.1)

In the second situation......she ended up with an amount equal to....

[(2/5)N + 500] (.80)    ..... and since these are equal, we have.....

(3/5)N(1.1) = [(2/5)N + 500] (.80)  simplify

.66N = .32N + 400     subtract .32N from both sides

.34N = 400   divide both sides by .34

She inherited about \$ 1176.47   ......each account contains \$776.47

CPhill  May 31, 2015
#1
+93025
+10

Call "N" the anount that she inherited

Then....in the first situation, she ended up with an amount equal to....

(3/5)N (1.1)

In the second situation......she ended up with an amount equal to....

[(2/5)N + 500] (.80)    ..... and since these are equal, we have.....

(3/5)N(1.1) = [(2/5)N + 500] (.80)  simplify

.66N = .32N + 400     subtract .32N from both sides

.34N = 400   divide both sides by .34

She inherited about \$ 1176.47   ......each account contains \$776.47

CPhill  May 31, 2015