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2 kg apples and 1 kg grapes cost ₹310, and 4 kg apples and 2 kg grapes cost ₹620. How many (price of apples, price of grapes) pairs fit this data?

Competition practiceAlgebra
  • AInfinitely many
  • BExactly one
  • CNone
  • DExactly two

Step-by-Step Solution

The second equation is exactly twice the first (a₁/a₂ = b₁/b₂ = c₁/c₂ = 1/2), so the lines coincide and there are infinitely many solutions.
Answer: A) Infinitely many

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