Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3604 to rent trucks plus an additional fee of $75.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 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 1

16 pounds of sugar

The initial cost to transport it would be $4812

Okay

So lets do company 1=a

2=b

So the equation for company a is

3604+75.5x

The second one is

300.75x

Now I would find the LCM

So I just predicted (guess and check)

so obviously 15 can be a good shot but that off a little bit,

16

so if you plug in 16 for each options for X

3604+75.5*16= 4812

The second company

300.75*16=4812

SO their the same

So 4812 cost, 16 tons

Answer 2

Answer: 14 tons

$3,860.50

Explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50