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?

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! :)

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reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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step-by-step explanation: