On a certain assembly line, rejection rate for Hyundai i - 10 production was 4…
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On a certain assembly line, rejection rate for Hyundai i - 10 production was 4 percent, for Hyundai i - 20 production 8 percent and for the 2 cars combined 7 percent. What was the ratio of Hyundai i - 10 and Hyundai i- 20 production?
Answer: D. 1/3 — Solution: Let x be the number of Hyundai i10 produced and y be the number of Hyundai i20 produced. Write the combined rejection-rate equation: (0.04x + 0.08y)…
- A.
3/1
- B.
2/1
- C.
1/1
- D.
1/3
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Correct answer: D
Solution: Let x be the number of Hyundai i10 produced and y be the number of Hyundai i20 produced.
Write the combined rejection-rate equation: (0.04x + 0.08y) / (x + y) = 0.07.
Multiply both sides by (x + y): 0.04x + 0.08y = 0.07x + 0.07y.
Rearrange terms: 0.08y - 0.07y = 0.07x - 0.04x, so 0.01y = 0.03x.
Thus y = 3x, so the ratio of Hyundai i10 to Hyundai i20 production is x:y = 1:3.
Conclusion: The correct ratio is 1:3. None of the provided answer choices (3:1, 2:1, 1:1, 1:2) equals 1:3; the choice 1:2 shown as correct in the original data is incorrect.