The dealer

The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 fewer cars, i.e., only 15% of cars.
a) How many cars did he have in stock?
b) How many cars did he sell in May?

Correct answer:

a =  80
c =  12

Step-by-step explanation:

b=0.40⋅ a b−20=c c=0.15⋅ a  0.4a−b=0 b−c=20 0.15a−c=0  Row3−0.40.15​⋅ Row1→Row3 0.4a−b=0 b−c=20 0.375b−c=0  Row3−0.375⋅ Row2→Row3 0.4a−b=0 b−c=20 −0.625c=−7.5  c=−0.625−7.5​=12 b=20+c=20+12=32 a=0.40+b​=0.40+32​=80  a=80 b=32 c=12

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