Algebra 1 _ Is there enough information given to determine the amount of memory used by a single picture taken with the camera. Elaborate why or why not

Question

Camera capable of recording 30 second videos at the same time he takes pictures. Each picture takes up the same amount of space and so do each 30 second video. The table shows the number of pictures and 30 second videos that can be taken on two different memory cards.

 

Size of card:

1024mb  _  7200 pictures  _  112 videos

4096 mb _  28800 pictures _ 448 videos.

 

Is there enough information given to determine the amount of memory used by a single picture taken with the camera. Elaborate why or why not

Answer 1

space taken by 1 picture = x mb

space taken by 1 vdo = y mb

 

so

7200 x + 112 y =1024

 

28800 x+ 448 y = 4096

 

Multiplying the first equation by 4 28800 x + 448 y = 4096 28800 x + 448 y = 4096 As both equations are same there are infinitely many solutions. so no enough information

Answer 2

7200 P + 112 V = 1024

 

28800 P + 448 V = 4096

 

Multiplying the first equation by -4

 

-28800 P + -448 V = -4096

 

28800 P + 448 V = 4096

 

Adding them together, 0P + 0V = 0

             or the identity 0 = 0

 

So the system has infinitely many solutions,

because the two equations are really the same.

That means we got two unknowns and only one equation.

 

So no there is not enough information to determine the data size

or the amount of memory used by a single picture.