The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges $5995 to rent trucks plus an additional fee of $200.50 for each ton of sugar.

Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of  $125.25 for each ton of sugar. The second company charges $5995 to rent trucks plus an additional fee of $200.50  for each ton of sugar.

anonymous · Answer

for what amount of sugar do the two companies charge the same?

anonymous · Answer

in ton

anonymous · Answer

Ok you have two equations here, one from the first company and one from the second company. Do you know what it is?

anonymous · Answer

no i dont know the equations

anonymous · Answer

Ok no problem I'll show you how I got the first equation,
So the first company has a initial charge of $7500 plus $125.25 per ton of sugar.
If we put it into an equation where x is number of tons in sugar, you'll get 
y=7500+125.25x

Now, do you think you can do the second one?

anonymous · Answer

yes

anonymous · Answer

just replace the numbers for the second one

anonymous · Answer

y=5995+200.50x

anonymous · Answer

Ok great, set the two equations equal to each other to find x. To find when the amount of sugar is charged equally by the two companies. 
7500+125.25x=5995+200.50x

Or if you have a graphing calculator just graph it and find the intersecting point.

anonymous · Answer

so solve both together?

anonymous · Answer

20

anonymous · Answer

Yep that's correct just make sure to include tons for your unit.

anonymous · Answer

If you are unsure if its correct, just plug it back in two both equations and you should get the same answer.

anonymous · Answer

there is another questin for it

anonymous · Answer

what is the cost when the two companies charge the same?

anonymous · Answer

Then plug 20 back into x for the two equations. You'll get the charge price.

anonymous · Answer

i dont get it

anonymous · Answer

7500+125.25x=5995+200.50x  instead of x i put 20?

anonymous · Answer

No, plug 20 in for 
y=7500+125.25x
and 
y=5995+200.5x

anonymous · Answer

plug 20 in for x and you'll get total price for y

anonymous · Answer

i solve each?

anonymous · Answer

You can if you want, or just choose one because they'll both equal the same charge price.

anonymous · Answer

$$y=7500+125.25(20)=7500+2505=10005$$$$y=5995+200.5(20)=5995+4010=10005$$

anonymous · Answer

yes what i got when evaluating

anonymous · Answer

so that is the cost 1005?

anonymous · Answer

Ok so 10005 is the amount the two companies charge, $10,005

anonymous · Answer

Thank you very much

anonymous · Answer

No problem, hope it helps and good luck :)