Question

A company makes three sizes of juice bottles: small, medium, and large.

Answer 1

An expression in terms of s that represents the number of large bottles is :  L = $(\frac{15s}{2} /3})$

Ratio of different sizes of bottles

The company makes s small bottles every minute

let ; M represent the number of medium bottles made every minute

L represent the number of large bottles made every minute

small bottles to medium =  2 : 3

small bottles to medium =  s : M

M is the unknown, so to find how many medium bottles that has been made,  we must cross multiply

2M = 3s

M = $\frac{3s}{2}$  medium bottles made every minute

medium bottles to large bottles =  3 : 5

medium bottles to large bottles =  M : L

where M = $\frac{3s}{2}$

The equation becomes:

           3 : 5

           $\frac{3s}{2}$ : L

L is the unknown, so to find how many Large bottles that has been made,  we must cross multiply

3L =( $\frac{3s}{2}$ ) * 5

L = $(\frac{15s}{2} /3})$

L = ( $\frac{5}{2}$ s)

L = 2.5 s

therefore the large bottles the company makes every minute is 2.5s large bottles

we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s

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