Question

Sarah took the advertising department from her company on a road trip to meet with a potential client . Including Sarah a total of 13 people took the trip. She was able to purchase coach tickets for $190 and first class tickets for $990. She used her total budget for airfare for the trip, which was $6470 . How many first class tickets did she buy. How many coach tickets did she buy?

Answer 1

Data is

Coach tiquet price= 190

First class tiquet price= 990

X= number of coach

Y= first class ticket

People on board trip= 13

Total spent = 6470

Then , equations are

X+ Y = 13

190X + 990Y = 6470

Now find solution, for this 2x2 system

Method of substitution

Substitute Y= 13 - X

190X + 990 (13-X) = 6470

Group in two blocks

190X - 990X = 6470 - 990•13

-800X = - 6400

Then

X= -6400/-800 = 8

Now find Y

Y= 13 - X = 13-8= 5

Then finally answers are

She buyed 5 first class tickets

and 8 c