To charge the same amount , 12 tonnes would be transported . The amount charged when transport cost is equal is $6703
Representing the cost of the two companies with equations ; Let the number of sugar tonnes = x
First company:
Second company :
To have the same charge , we equate (1) and (2)
5500 + 100.25x = 4594 + 175.75x
100.25x - 175.75x = 4594 - 5500
-75.5x = -906
x = -906/75.5
x = 12
To have the same charge, 12 tonnes of sugar has to be transported.
B.)
Cost of transport when charge is the same ;
5500 + 100.25(12)
5500 + 1203
= 6703