Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8 times more cars than motorcycles. How many cars and motorcycles were there in garage?

Answer: There are 40 cars and 5 motorcycles at the end of buying and selling. He started with 9 motorcycles and 36 cars.

Step-by-step explanation:

x=# of motorcycles 4x=# of cars

8 (x-4) = 4x+4

8x-32=4x+4

4x=36

x=9

---

4 (9) + 4=36+4=40

9-4=5

Now in the Garage he has 40 cars and 5 motorcycles.

Step-by-step explanation:

let

Number of motorcycles = x

He had 4 times more cars than motorcycles, so, Number of cars = 4x

He bought 4 more cars, so equation becomes: 4x+4

And sold 4 motorcycles, so: x-4

now there were 8 times more cars than motorcycles:

so we equate it like this:

8 (x-4) = 4x+4

solving the above equation:

8x-32=4x+4

4x=36

we find the value of X.

which is: x=9

Now put it in the equation of cars to find out number of cars

the equation was: 4x+4

solving it:

no of cars = 4 (9) + 4

=36+4

No of cars = 40.

Now solving it for motorcycles: x-4

9-4

no of motorcycles = 5