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

Question

contestada

Respuesta :

shelbynoah2018 shelbynoah2018 · Answer 1 · 2018-02-08T15:43:53+01:00

D. 14 small bottles and 5 large bottles

Answer Link

chisnau chisnau · Answer 2 · 2019-07-16T14:47:24+02:00

Answer:

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

Option D.

Step-by-step 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

[tex]s+l=19[/tex] or [tex]s=19-l[/tex] ....(1)

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

[tex]12s+16l=248[/tex] ......(2)

Substituting value of s in (2)

[tex]12(19-l)+16l=248[/tex]

[tex]228-12l+16l=248[/tex]

[tex]4l=248-228[/tex]

[tex]4l=20[/tex]

l = 5

And [tex]s+l=19[/tex]

[tex]s+5=19[/tex]

s = 14

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