The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3995 to rent trucks plus an additional fee of $225.50 for each ton of sugar. The second company charges $6500 to rent trucks plus an additional fee of $100.25 for each ton of sugar. Q1) for what amount of sugar do the two companies charge the same? Q2) what is the cost when the two companies cost the same?

For Q1, you have to set these equations equal to each other because it is asking how much of x is necessary to make the same amount of y, so:

3995 + 225.50x = 6500 + 100.25x

solve for x:, and get x=20

so 20 tons of sugar will give the companies the same cost.

For Q2: you need to plug in x=20 into either one of the original equations, and solve for y because this will give you the cost of transportation, so:

y = 3995 + 225.50 (20)

y=$8,505 for the total cost