Question 82 of 90intermediate🔧 ApplyNumerical3 marks

Riya is filling water bottles for a picnic. She fills one 2 l bottle and four 500 ml bottles. Her friend, Aarav fills three 750 ml bottles. Who filled more water, Riya or Aarav? How much more?

Correct Answer

Step 1: Calculate Riya's total water Riya's water = 2 l + 4×5004 \times 500 ml = 2 l + 2,000 ml = 2 l + 2 l = 4 l

Step 2: Calculate Aarav's total water Aarav's water = 3×7503 \times 750 ml = 2,250 ml = 2 l 250 ml

Step 3: Compare the quantities 4 l > 2 l 250 ml ∴ Riya filled more water.

Step 4: Calculate the difference Difference = 4 l - 2 l 250 ml = 4,000 ml - 2,250 ml = 1,750 ml = 1 l 750 ml

Answer: Riya filled more water by 1 l 750 ml.

Exercise: Let Us Compare | Q: 88 | (Page Page 15)
For More Understanding

Explanation

The chapter explains addition and comparison of capacities. Riya: 2 l + 4×5004 \times 500 ml = 2 l + 2,000 ml = 2 l + 2 l = 4 l. Aarav: 3×7503 \times 750 ml = 2,250 ml = 2 l 250 ml. Comparing: 4 l > 2 l 250 ml. Difference: 4 l - 2 l 250 ml = 4,000 ml - 2,250 ml = 1,750 ml = 1 l 750 ml.

Solution Steps

  1. Step 1: Riya's water = 2 l + 4×5004 \times 500 ml = 2 l + 2,000 ml = 2 l + 2 l = 4 l

  2. Step 2: Aarav's water = 3×7503 \times 750 ml = 2,250 ml = 2 l 250 ml

  3. Step 3: Compare: 4 l > 2 l 250 ml, so Riya filled more

  4. Step 4: Difference = 4,000 ml - 2,250 ml = 1,750 ml = 1 l 750 ml

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