Question

one week you spent $24 on 6 subway tickets and 4 express bus tickets. The next week you spent $27 on 3 subway tickets and 7 express tickets. How many will it cost you to buy 5 subway tickets and 2 express tickets this week?

Answer 1

I will use x for # of subway tickets, and y for # of express bus tickets.

24 = 6x + 4y
27 = 3x + 7y

x = 2
y = 3

16 = 10 + 6

Answer is 16

Answer 2

Answer: $16

Explanation:

Let x represents the cost of one subway ticket and y represents the cost of one express ticket.

According to the question, we have the following equations :-

`6x+4y=24.........................(1)\\\\3x+7y=27..................(2)`

Multiply equation (2) with 2 on both sides , we get

`6x+14y=54....................(3)`

Subtract equation (1) from equation (3) , we get

`10y=30\\\\\Rightarrow y=(30)/(10)=3`

Put the value of y in (2), we get

`3x+7(3)=27\\\\\Rightarrow\ 3x+21=27\\\\\Rightarrow\ 2x=6\\\\\Rightarrow\ x=2`

Thus, the cost of a subway ticket = $2

The cost of a express ticket = $3

Now, the cost of 5 subway tickets and 2 express tickets will be :-

`5(2)+2(3)=\$16`