Question

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?

Answer 1

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

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.