Answer:
Two wheeled cart = 12, Four wheeled cart = 8
Step-by-step explanation:
Given:
In Mario Kart Royale, you have your choice of using a four wheeled cart or a 2 wheeled bike to compete.
If there are 20 total vehicles and 56 totals wheels.
Question asked:
How many of each type of vehicle are in the race?
Solution:
Let total number of two wheeled cart = [tex]x[/tex]
As given that there are 20 total vehicles.
That means, total number of four wheeled cart = [tex]20-x[/tex]
Total number of wheels = 56
Total wheels of two wheeled cart + Total wheels of four wheeled cart = 56
[tex]2\times x+4(20-x)=56\\ \\ 2x+80-4x=56\\\\ -2x+80=56[/tex]
Subtracting both sides by 80
[tex]-2x+80-80=56-80\\\\ -2x=-24[/tex]
Minus canceled by minus
[tex]2x=24\\[/tex]
Dividing both sides by 2
[tex]x=12[/tex]
Total number of two wheeled cart = [tex]x[/tex] = 12
Total number of four wheeled cart = [tex]20-x[/tex] = 20 - 12 = 8
Thus, there are 12 two wheeled cart and 8 four wheeled cart in Mario Kart Royale.
