Answer:
Step-by-step explanation:
Let the amount Emily started with be 100x
Amount spent at grocery 1/2 of the money:
[tex]\frac{1}{2} \ of \ 100x = 50x[/tex]
Remaining amount
[tex]=100 x - 50x = 50x[/tex]
Amount spent at the Bakery 1/2 of what is left :
[tex]\frac{1}{2} \ of \ 50x = 25x[/tex]
Remaining amount
[tex]= 50x - 25x = 25x[/tex]
Amount spent on CD , 1/2 of what is left :
[tex]=\frac{1}{2} \ of \ 25x = \frac{1}{2} \times 25x = 12.5x[/tex]
Remaining amount
[tex]= 25x - 12.5x = 12.5x[/tex]
But given the amount left is $6
That is ,
[tex]12.5x = 6\\\\x = \frac{6}{12.5} = 0.48[/tex]
Therefore amount Emily had in beginning = 100 x = 100( 0.48) = $48
