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 bus tickets. how much will it cost you to buy 5 subway tickets and 2 express bus tickets this week

It will cost $16 to buy  5 subway tickets and 2 express bus tickets this week.

Step-by-step explanation:

Hi, to answeer this question we have to write a system of equations with the information given:

6x + 4y =24

3x + 7y =27

Where :

x = price of a subway ticket

y = price of a express bus ticket

Solving by substitution:

6x + 4y =24

6x = 24 -4y

x = (24 -4y)/6

x = 4 -2/3 y

Replacing the value of "x" in the other equation:

3x + 7y =27

3 ( 4 -2/3 y) + 7y =27

12 - 2y +7y =27

-2y + 7y =27 -12

5y = 15

y = 3

Finally, replacing the valu of "y" in the first equation:

6x + 4y =24

6x + 4 (3) =24

6x +12 =24

6x = 24-12

6x = 12

x = 12/6 = 2

So, the values of the individual tickets are:

x = price of a subway ticket = $2

y = price of a express bus ticket =$3

how much will it cost you to buy 5 subway tickets and 2 express bus tickets this week?

To answer this part we simply have to multiply the number of each tickets by its price, and add the results.

5 ($2) + 2 ($3) = $10 + $6 = $16