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2 answers:
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The cost when two companies charge the same is $ 9006
<em><u>Solution:</u></em>
Let "x" be the tons of sugar
<em><u>The first company charges 6597 to rent trucks plus an additional fee of $200.75 for each ton of sugar</u></em>
Therefore,
Amount for first company: 6597 + 200.75(tons of suagr)
Amount for first company: 6597 + 200.75x --------- eqn 1
<em><u>The second company charges $7500 to rent trucks plus an additional fee of $125.50 for each ton of sugar</u></em>
Therefore,
Amount for second company: 7500 + 125.50(tons of sugar)
Amount for second company: 7500 + 125.50x --------- eqn 2
<em><u>For what amount of sugar do the companies charge the same?</u></em>
For both the companies to charge the same, eqn 1 must be equal to eqn 2
6597 + 200.75x = 7500 + 125.50x
200.75x - 125.50x = 7500 - 6597
75.25x = 903
x = 12
Thus for 12 tons of sugar, both the companies charge the same
<em><u>What is the cost when two companies charge the same?</u></em>
Substitute x = 12 in any one of equations
Let us substitute x = 12 in eqn 1
Thus the cost when two companies charge the same is $ 9006