math please help!!!!!!!!!!!!!!!!!!!!!
posted by CeCe 3gr on .
A lady has a certain number of dollar bills in her purse. She has no other money. She spends half the money on a hat and gives $1 to a begger outside the store.She spends half the remaining dollars for lunch and tips the waiter $2. She then spends haif the remaining dollars for a book, and just before she goes home she spends $3 dollars on a hot fudge sundae. She now has $1 left. How many dollars did she began with?

$42

Thanks Ali.What did you do?

Let the original amount be $x
Amount left after first episode
= x/2  1
amount left after lunch
= (x/21)/2  2
amount left after buying book
= [(x/21)/2  2]/2
amount left after buying fudge
= [(x/21)/2  2]/2  3
then[(x/21)/2  2]/2  3 = 1
[(x/21)/2  2]/2 = 4
[(x/21)/2  2] = 8
(x/21)/2 = 10
x/2  1 = 20
x/2 = 21
x = 42 
$6.00