Question

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 than contains 36 bottles and sells three times as many 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?

Record your answer in the grid below.

Be sure to use the correct place value.

8 points total Show work in order to receive full credit.

7 points correct answer

1 point correct bubbling on grid

Answer 1

6

Explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia =
`x`

Number of water bottles left with Sylvia =
`24-x`

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold =
`3x`

Number of water bottles left with Sam =
`36-3x`

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

`24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}`

So, number of water bottles sold by Sylvia = 6