The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3157 to rent trucks plus an additional fee of $50.25 for each ton of sugar. The second company does not charge to rent trucks but charges $275.75 for each ton of sugar. For what amount of sugar do the two companies charge the same?What is the cost when the two companies charge the same?

Let x = the amount of sugar transported.

First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars

Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x

When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50

Answer:
14 tons
$3,860.50