VW South Africa makes Polo TSI models in blue, silver, orange and white in the ratio 5:3:2:6 respectively. If they make 48000 cars in a day, how many of each do they make? Simplify the ratio \( 96: 120 \)

1. The ratio of blue, silver, orange, and white cars is given as \(5:3:2:6\). 2. Calculate the total number of parts in the ratio: \[ 5+3+2+6=16. \] 3. Determine the number of cars corresponding to one part: \[ \frac{48000}{16}=3000. \] 4. Now, compute the number of cars for each color: - Blue: \[ 5 \times 3000 = 15000. \] - Silver: \[ 3 \times 3000 = 9000. \] - Orange: \[ 2 \times 3000 = 6000. \] - White: \[ 6 \times 3000 = 18000. \] 5. Next, simplify the ratio \(96:120\). Find the greatest common divisor (GCD) of 96 and 120. The GCD is 24. \[ \frac{96}{24} = 4 \quad \text{and} \quad \frac{120}{24} = 5. \] Thus, the simplified ratio is: \[ 4:5. \] Final answers: - Blue: \(15000\) cars, - Silver: \(9000\) cars, - Orange: \(6000\) cars, - White: \(18000\) cars. - Simplified ratio: \(4:5\).