A train travels from New York City to Washington D. C. and then back again. The table below shows the number of Coach tickets sold, the number of Business Class tickets sold, and the told money collected for each leg of the trip. What is the price of a coach ticket?
Washington DC coach 150 Business 50 Money collected 18450
NY City coach 170 business 100 Money collected 27280

 $74

Step-by-step explanation:

Let C represent the cost of a coach ticket

Let B represent the cost of a business ticket

Washington: 150C +  50B = 18,450

NY City:         170C + 100B = 27,280

Solve the system using the Elimination method:

-2(150C +  50B = 18,450)   →   -300C - 100B = -36,900

1(170C + 100B = 27,280)   →     170C + 100B =  27,280  

                                                 -130C             =  - 9,620

                                               ÷ -130                 ÷   -130    

                                                          C            =      74

 $74

Step-by-step explanation:

Let C represent the cost of a coach ticket

Let B represent the cost of a business ticket

Washington: 150C +  80B = 22,860

NY City:         170C + 100B = 27,280

Solve the system using the Elimination method:

-2(150C +  50B = 18,450)   →   -300C - 100B = -36,900

1(170C + 100B = 27,280)   →     170C + 100B =  27,280  

                                                -130C             =  - 9,620

                                              ÷ -130                 ÷   -130    

                                                         C            =      74

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