Given :
The Sugar Sweet Company will choose from two companies to transport its sugar to market.
The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar.
The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.
To Find :
How, many tons of sugar will cost same in both companies.
Solution :
For company 1 :
P1 = (225.75)x + 3995
For company 2 :
P2 = (150.50)x + 5500
For same cost :
P1 = P2
(225.75)x + 3995 = (150.50)x + 5500
x( 225.75 - 150.50 ) = ( 5500- 3995)
x( 75.25 ) = 1505
x = 20
Therefore, 20 tons of sugar will cost same.
Hence, this is the required solution.