Solve the following system by the comparison method.
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An expression in terms of s that represents the number of large bottles is : L =
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 = medium bottles made every minute
medium bottles to large bottles = 3 : 5
medium bottles to large bottles = M : L
where M =
The equation becomes:
3 : 5
: L
L is the unknown, so to find how many Large bottles that has been made, we must cross multiply
3L =( ) * 5
L =
L = ( 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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