Answer: 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
