The sugar company will choose from two companies to transport its sugar to market. the first company charges $6500 to rent trucks plus an additional fee of $150.50 for each Ton of sugar. The second company charges $4995 to Trang trucks plus an additional fee of $225.75 for each Ton of sugar. For what amount of sugar do the two companies charge the same?

20 ton

Step-by-step explanation:

We created a system of two separate equations to answer these questions.

"y" will be the total cost to transport the sugar

"x" will be the amount of sugar transported

Therefore, we have to:

y = 3995 + 225.50 * x

y = 6500 + 100.25 * x

We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:

3995 + 225.50 * x = 6500 + 100.25 * x

solved we have:

225.50 * x - 100.25 * x  = 6500 - 3995

125.25 * x = 2505

x = 2505 / 125.25

x = 20

which means that when the amount of sugar transported is 20 tons, the price is the same