The super sweet company will choose from 2 companies to transport its sugar to market. The first company charges $4500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $4197 to rent trucks plus an additional fee of $225.50 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?

The two companies charge the same for 12 tons of sugar and the cost when they charge the same is $6903.

Step-by-step explanation:

Let 'x' be the tons of sugar transported. The charge of 1st company = $4500 + $200.25x The charge of 2nd comapny = $4197 + $225.50x

The two companies charge the same.

⇒ 4500 + 200.25x = 4197 + 225.50x

⇒ 4500-4197 = 225.50x - 200.25x

⇒ 303 = 25.25x

⇒ x = 303/25.25

x = 12

Amount of sugar = 12 tons. The cost of 1st company = 4500 + 200.25 (12) = $6903. The cost of 2nd company = 4197 + 225.50 (12) = $6903.