x = amount of sugar transported;
y = amount charged by each company.
1st company: y = 6500 + 125.25x
2nd company: y = 5296 + 200.50x
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For what amount of sugar do both companies charge the same?
y (1st company) = y (2nd company)
6500 + 125.25x = 5296 + 200.50x
6500 - 5296 = 200.50x - 125.25x
1204 = 75.25x
x = 1204/75.25
x = 16 tons
What is the cost when both companies charge the same?
Just substitute back for x = 16:
y = 6500 + 125.25 * 16
y = 6500 + 2004
y = $ 8504
I hope this helps. =)
