Answer:
Two wheeled cart = 12, Four wheeled cart = 8
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 =
![x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p9sq9b3rc5nwoqzhzc8wcaj51b36281l9g.png)
As given that there are 20 total vehicles.
That means, total number of four wheeled cart =
![20-x](https://img.qammunity.org/2021/formulas/mathematics/high-school/zkagh5w0js8jd3acwv6tb5xjkuhs7p4pvy.png)
Total number of wheels = 56
Total wheels of two wheeled cart + Total wheels of four wheeled cart = 56
![2* x+4(20-x)=56\\ \\ 2x+80-4x=56\\\\ -2x+80=56](https://img.qammunity.org/2021/formulas/mathematics/high-school/nc68yhy5w3oecxgogkennj44yqtl04yk6f.png)
Subtracting both sides by 80
![-2x+80-80=56-80\\\\ -2x=-24](https://img.qammunity.org/2021/formulas/mathematics/high-school/sl9npxxqz86jjjtur3gm18iaaez9i4y3bx.png)
Minus canceled by minus
![2x=24\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/zmvwj3on84ezv6lsfk3gks3obo0flcrxnm.png)
Dividing both sides by 2
![x=12](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kzh72we7ptn8hlgavxhsl5e208kjtiramm.png)
Total number of two wheeled cart =
= 12
Total number of four wheeled cart =
= 20 - 12 = 8
Thus, there are 12 two wheeled cart and 8 four wheeled cart in Mario Kart Royale.