Question

Please help! The Sugar Sweet Company will choose from two companies to transport its sugar to the market. The first company charges $3495 to rent trucks plus an additional fee of $255.50 for each ton of sugar. The second company charges $5500 to rent trucks plus an additional $125.25 fee 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

Answer:

The cost when the two companies charge the same is $7,703.

Step-by-step explanation:

Let 'x' represent the number of tons.

For x tons the first company will charge:

5297 + 200.50x

For x tons the second company will charge:

6500 + 100.25x

We want to find x so that both companies charge the same, that is:

5297 + 200.50x = 6500 + 100.25x

x = 12 tons

For 12 tons both companies will charge the same.

The cost charged for 12 tones is:

5297 + 200.50*12 = $7,703

Hope this Helps! :)