Answer:
$8,000
Step-by-step explanation:
Let the store earned $x in December.
Therefore,
Money spent to buy new inventory [tex] =\frac{1}{4} x[/tex]
Remaining money [tex] = x - \frac{1}{4} x =\frac{3}{4} x[/tex]
Money used to pay bills [tex] =\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x[/tex]
Money still left over = $3,000
Total money earned in December [tex]= \frac{1}{4} x+ \frac{3}{8} x+3,000[/tex]
[tex]\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000[/tex]
[tex]\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000[/tex]
[tex]\therefore x= \frac{5}{8} x+ 3,000[/tex]
[tex]\therefore x- \frac{5}{8} x=3,000[/tex]
[tex]\therefore \frac{8x-5x}{8} =3,000[/tex]
[tex]\therefore \frac{3x}{8} =3,000[/tex]
[tex]\therefore x =3,000\times \frac {8}{3}[/tex]
[tex]\therefore x =1,000\times 8[/tex]
[tex]\therefore x =\$8,000[/tex]
Thus, total money earned in December is $8,000.
