Question

Ping's Cola comes in 12 ounce and 16 ounce bottles. The organizers of a volleyball game have 19 bottles on hand for a total of 248 ounces. How many bottles of each size are there? A. 12 small bottles and 7 large bottles B. 13 small bottles and 6 large bottles C. 15 small bottles and 4 large bottles D. 14 small bottles and 5 large bottles

Answer 1

D. 14 small bottles and 5 large bottles

Answer 2

The small bottles are 14 in number and large bottles are 5 in number.

Option D.

Explanation:

Ping's Cola comes in 12 ounce and 16 ounce bottles.

Let the 12 ounce bottles be = s

Let the 16 ounce bottles be = l

The organizers of a volleyball game have 19 bottles on hand

`s+l=19` or
`s=19-l` ....(1)

Total weight of 19 bottles are 248 ounces. So, next equation becomes:

`12s+16l=248` ......(2)

Substituting value of s in (2)

`12(19-l)+16l=248`

`228-12l+16l=248`

`4l=248-228`

`4l=20`

l = 5

And
`s+l=19`

`s+5=19`

s = 14

So, the small bottles are 14 in number and large bottles are 5 in number.