Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case

0.36

Step-by-step explanation:

Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case

From the above question:

1 pack = 1/12 of a case.

1/12 of a case = 1 pack

1 case = x packs

Cross Multiply

1/12 × x = 1 × 1

x = 1 / 1/12

x = 1 × 12/1

x = 12 packs

This means, 1 case of drinks contains 12 packs of drinks

We are also told that: a case of the drink cost 25.92

This means the cost of 12 packs of drinks = 25.92

We are also told that:

a bottle is 1/6 of pack

1/6 pack = 1 bottle

1 pack = x bottles

Cross Multiply

1/6 × x = 1 × 1

x = 1 / 1/6

x = 1 × 6/1

x =6 bottles

This means, 1 pack of drinks contains 6 bottles of drinks

Hence:

12 packs of drinks = 25.92

1 pack of drinks = x

Cross Multiply

12x = 25.92

x = 25.92/12

x = 2.16

1 pack of drinks cost 2.16= 6 bottles of drinks cost 2.16

Therefore:

6 bottles of drinks = 2.16

1 bottle of drink = x

Cross Multiply

6x = 1 × 2.16

x = 2.16/6

x = 0.36

Therefore, the price per bottle in a case is 0.36

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)