Question

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 left over. How much money did the store earn in December? ​

Answer 1

$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.