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 $$ 96: 120 $$

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UpStudy AI · Accepted Answer

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: $$4:5$$.
Blue: 15,000 cars Silver: 9,000 cars Orange: 6,000 cars White: 18,000 cars Simplified ratio: 4:5

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 \( 96: 120 \)

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