Problema Solution
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges
$5297
to rent trucks plus an additional fee of
$200.50
for each ton of sugar. The second company charges
$6500
to rent trucks plus an additional fee of
$100.25
for each ton of sugar.
For what amount of sugar do the two companies charge the same?
tons
What is the cost when the two companies charge the same?
$
Answer provided by our tutors
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
........
click here to see the equation solved for x
........
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
The cost when the two companies charge the same is $7,703.