a parking lot contains (2 wheels) and cars (4 wheels). There are 35 vehicles and 114 wheels. How many motorcycles amd cars are there?
Accepted Solution
A:
Answer:There are 13 motorcycles and 22 carsStep-by-step explanation:Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...x + y = 35 (there are a total of 35 vehicles)2x + 4y = 114 (the total number of tires)Solve the first equation for either variable...y = 35 - xNow substitute that value into the other equation and solve...2x + 4(35 - x) = 114 (y becomes 35 - x)Now solve...2x + 140 - 4x = 114 -2x = -26 x = 13 (there are 13 motorcycles)Now plug that value into either original equation to solve for y...13 + y = 35 y = 22 (there are 22 cars(