The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges $5897 to rent trucks plus an additional fee of $175.50 for each ton of sugar. 1)for what amount of sugar do the two companies charge the same ? []tons 2) what is the cost when the two companies charge the same? s[]

Question

contestada

Respuesta :

berno berno · Answer 1 · 2020-10-05T15:33:26+02:00

Answer:

The two companies charge the same for 12 tons of sugar.

Amount charged by each of the company [tex]=\$8003[/tex]

Step-by-step explanation:

Let x denotes amount of sugar for which the two companies charge the same.

Amount charged by the first company [tex]=6500+125.25x[/tex]

Amount charged by the second company [tex]=5897+175.50x[/tex]

To find amount of sugar for which the two companies charge the same,

solve [tex]6500+125.25x=5897+175.50x[/tex]

[tex]6500+125.25x=5897+175.50x\\6500-5897=175.50x-125.25x\\603=50.25x\\x=\frac{603}{50.25}\\ x=12[/tex]

So, the two companies charge the same for 12 tons of sugar.

Amount charged by the first company [tex]=6500+125.25(12)=8003[/tex]

Amount charged by the second company [tex]=5897+175.50(12)=8003[/tex]

Amount charged by each of the company [tex]=\$8003[/tex]