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23 August, 19:34

The super sweet company will choose from 2 companies to transport its sugar to market. The first company charges $4500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $4197 to rent trucks plus an additional fee of $225.50 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?

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  1. 23 August, 19:55
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    The two companies charge the same for 12 tons of sugar and the cost when they charge the same is $6903.

    Step-by-step explanation:

    Let 'x' be the tons of sugar transported. The charge of 1st company = $4500 + $200.25x The charge of 2nd comapny = $4197 + $225.50x

    The two companies charge the same.

    ⇒ 4500 + 200.25x = 4197 + 225.50x

    ⇒ 4500-4197 = 225.50x - 200.25x

    ⇒ 303 = 25.25x

    ⇒ x = 303/25.25

    x = 12

    Amount of sugar = 12 tons. The cost of 1st company = 4500 + 200.25 (12) = $6903. The cost of 2nd company = 4197 + 225.50 (12) = $6903.
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