Question

In august Amy spent 2/5 of the money in her checking account. In september she spent 1/3 of the remainder. if she has $400 left, what was in her account originally?
A) 100
B) 1000
C) 1200
D) 1600
E) 200

Answer 1

Let's denote Amy's initial balance as:
\[B\]In August, Amy spent 2/5 of her money. That means she has 3/5 of her original balance:
\[B-(2/5)B=(3/5)B\]In September, Amy spent 1/3 of the remainder. That means she spent 1/3 of the 3/5 remaining:
\[(3/5)B-(1/3)((3/5)B)=(3/5)B-(1/5)B=(2/5)B\]She now has $400 left, this means that:
\[(2/5)B=400\]Now solve for B and you obtain:
\[B=$1000\]

Answer 2

thank you very much across ^.^