Lara had some money in her savings account. She withdrew 3/8 of it and spent 2/9 on books. She gave 4/7 and banked the rest, If she banked $756...

Question

HOW MUCH DID SHE HAVE IN BEGINNING? 

 

Answer 1

If we let S = amount originally in savings account

 

Lara took out (3/8)S

 

she spent (2/9)[(3/8)S]  = (1/12)S on books,

she gave away (4/7)[(3/8)S] = (3/14)S

and had $756 left to bank.

 

From the withdrawn money: (3/8)S - (1/12)S - (3/14)S = 756

 

S(3/8 - 1/12 - 3/14) = 756

The common denominator is 12(14) = 168

S(63/168 - 14/168 - 36/168) = 756

S(13/168) = 756

S = 756(168/13)

S = $982.15

 

Lara originally had $982.15 in savings.