Mr. rich had 2 times more cars than motorcycles in his garage. after he bought 1 more car and sold 2 motorcycles, there were 3 times more cars than motorcycles. how many cars and motorcycles were there in garage?

After the sale there were 15 cars and 5 motorcycles

Step-by-step explanation:

c=cars originally

m=motorcycles originally

c=2m  (2 times the cars than motorcycles)

(c+1)  bought 1 car  after sale

sold 1 motor cycle (m-2)  after sale

(c+1) = 3(m-2)   (3 times more cars than motorcycles)

(c+1) = 3(m-2)

distribute

c+1 = 3m-6

substitute c =2m

2m +1 = 3m-6

subtract 2m from each side

2m+1-2m = 3m-6-2m

1 = m-6

add 6 to each side

1+6 = m-6+6

m=7

c = 2m

c = 2(7) =14

c=14

Originally there were 7 motorcycles and 14 cars

After the sale c+1 = 15, m-2 = 5

there were 15 cars and 5 motorcycles

13.46

step-by-step explanation:

16.80 x .20 = 13.46