Question

(PLEASEEE HELP ASAP!!) The Sugar Sweet Company will choose from two companies to transport Its sugar to market. The first company charges $5743 to rent trucks plus an additional

fee of $225.75 for each ton of sugar. The second company charges $7500 to rent trucks plus an additional fee of $100.25 for each ton of sugar.
sugar do the two companies charge

Q1: For what amount
the same?


Q2: What is the cost when the two companies charge the same?

Answer 1

Q1:14 Q2:8903.5

Explanation:

I find that using equations to solve problems makes it a lot easier.

The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.

So we need to find a value of x that works for each company and a value of y that is the same for the cost.

Now we combine them.

Solve for x:

5743+225.75x=7500+100.25x

-5743 -5743

225.75x= 1757+100.25x

-100.25x -100.25x

125.50x=1757

/125.5 /125.5

x=14

Therefore, for Q1, the answer is 14.

Now we solve for y by substituting x for 14.

5743+225.75(14)

5743+3160.5

8903.5

We can also check this with the other equation

7500+100.25(14)

7500+1403.5

8903.5

So therefore, the answer to Q2 would be 8903.5.