Question

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?

Answer 1

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