Question

Alli withdrew some money from the bank for shopping. she spent two thirds of what she withdrew on groceries. She spent $25 on a sweater. She spent half of what remained on a necklace. She went home with $15. How much did Alli withdraw from the bank.

Answer 1

let the money withdrew = x
\[(2/3)x + 25 + 15 + ((x - ((2/3)x + 25))/2) = x\]
\[(2/3)x + 25 + 15 + (((1/3)x + 25)/2) = x\]
\[(4/3)x + 80 + (1/3)x + 25 = 2x\]
\[(5/3)x + 105 = 2x\]
\[105 = 2x - (5/3)x\]
\[105 = (6x - 5x)/3\]
\[105 * 3 = x\]

Answer 2

@aum Can you help in this?

Answer 3

Let x be the money Ali withdrew.
"she spent two thirds of what she withdrew on groceries."
If she spent 2/3 * x on groceries she will have x - 2/3x = 1/3 * x = x/3 left.

"She spent $25 on a sweater"
So she will have x/3 - 25 left.

" She spent half of what remained on a necklace"
If she spent half she will have half left: 1/2 * (x/3 - 25)

"She went home with $15"
1/2 * (x/3 - 25) = 15
multiply both sides by 2:
(x/3 - 25) = 30
add 25 to both sides:
x/3 = 55
multiply both sides by 3:
x = 165.
Ali withdrew $165.

Answer 4

ok thats what i got the second time i did it thank you

Answer 5

You are welcome.