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?
+128406 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
+128406 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
