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| Math Central | Quandaries & Queries |
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Question from Brynleigh, a student: The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $\$5096$ to rent trucks plus an additional fee of $\$200.75$ for each ton of sugar. The second company charges $\$5500$ to rent trucks plus an additional fee of $\$175.50$ for each ton of sugar. For what amount of sugar do the two companies charge the same? |
Hi Brynleigh,
Suppose the Sugar Sweet Company orders $s$ tons of sugar. The first company charges $\$5096$ plus $\$200.75$ for each ton. How much will the first company charge for the $s$ tons? How much will the second company charge for the $s$ tons? Set these two amounts equal to each other and solve for $t.$
Penny
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