Maths questions...on number of bikes and cars sold

There were 530 cars and bikes in a showroom. After some were sold - there were 290 vehicles left.
The ratio of cars sold to cars left is 4:3
The ratio of bikes sold to bikes left is 2:7
How many cars and bikes were sold?

How to do this??? if possible without the use of algebra...


Many thanks
Ans 200 cars, 40 bikes

LET THERE BE 7X CARS AND 9Y BIKES

CARS SOLD 4X

CARS LEFT = 3X

BIKES SOLD = 2Y
BIKES LEFT = 7Y

4X +2Y = 240
3X + 7Y = 290

12X +6Y = 720
12X + 28Y = 1160

SUBTRACT EQUATION 1 FROM 2

22Y = 440

Y = 20

X = 50

ANSWER = 200 CARS ( 4X) AND 40 BIKES (2Y)