PLSS HELP A paper store spent 1/4 of all the money they earned in December to buy new inventory. It used 1/2 of the rest of the money to pay bills. Then, they still had $3,000 l…

Question

asked Sep 5, 2022 194k views

1 Answer

Badarshahzad · Answer 1 · 2022-09-12T08:56:50+0000

Answer:

$8,000

Explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory
=(1)/(4) x

Remaining money
= x - (1)/(4) x =(3)/(4) x

Money used to pay bills
=(1)/(2) * (3)/(4) x=(3)/(8) x

Money still left over = $3,000

Total money earned in December
= (1)/(4) x+ (3)/(8) x+3,000

$\therefore x= (1)/(4) x+ (3)/(8) x+3,000$

$\therefore x= (2)/(8) x+ (3)/(8) x+3,000$

$\therefore x= (5)/(8) x+ 3,000$

$\therefore x- (5)/(8) x=3,000$

$\therefore (8x-5x)/(8) =3,000$

$\therefore (3x)/(8) =3,000$

$\therefore x =3,000* \frac {8}{3}$

$\therefore x =1,000* 8$

$\therefore x =\$8,000$

Thus, total money earned in December is $8,000.