Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co- workers. Sam buys a case of water that contains 36 bottles and sells three times as man bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?

6 bottles

Step-by-step explanation:

Given the following :

SYLVIA:

Case of water = 24 bottles

Number of bottles sold = x

SAM:

case of water = 36 bottles

Number of bottles sold = 3x

Number of bottles left after sales are the same ;

Number of bottles left :

24 - x = 36 - 3x

Then solve for x

-x + 3x = 36 - 24

2x = 12

x = 12/2

x = 6

Hence, Sylvia sold 6 bottles of water.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.