Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $2107

to rent trucks plus an additional fee of $100.25
for each ton of sugar. The second company does not charge to rent trucks but charges $20.75 for each ton of sugar.

For what amount of sugar do the two companies cost the same?

What is the cost when the two companies charge the same?

Answer 1

So we can solve a system of equations to find the answer.

Lets assume y is the total value and x is the number of tons of sugar.

for the first one

y=2107+100.25x

The second one is y=20.75x

If we solve this we know that they will cost the same if you send negative number of sugar. This means that the First one is always going to cost more than the second one.