Question 38 of 60intermediate🔍 AnalyzeNumerical3 marks

Rani is planning to host a party. She estimates that 250 guests will attend. She plans to serve one samosa to each guest. Samosas are available in packs of 6 or 8. Which pack should Rani buy? Explain your answer.

Correct Answer

Given: 250 guests, 1 samosa per guest, packs of 6 or 8.

For packs of 6: 250 ÷ 6 = 41 remainder 4 Need 42 packs 42×642 \times 6 = 252 samosas Extra: 2 samosas

For packs of 8: 250 ÷ 8 = 31 remainder 2 Need 32 packs 32×832 \times 8 = 256 samosas Extra: 6 samosas

Comparison: Packs of 6: 42 packs, 2 extra samosas Packs of 8: 32 packs, 6 extra samosas

Answer: Packs of 6 result in less waste (2 extra samosas vs 6 extra). Packs of 8 require fewer packs (32 vs 42) but result in more waste. The better choice depends on whether Rani prioritizes fewer packs or less waste.

Exercise: Let Us Solve | Q: 1 | (Page Page 8)
For More Understanding

Explanation

For 250 guests with packs of 6: 250 ÷ 6 = 41 remainder 4, so she needs 42 packs (252 samosas, 2 extra). For packs of 8: 250 ÷ 8 = 31 remainder 2, so she needs 32 packs (256 samosas, 6 extra). Packs of 6 result in less waste (2 extra samosas vs 6 extra), while packs of 8 require fewer packs (32 vs 42). The better choice depends on whether Rani prioritizes fewer packs or less waste.

Solution Steps

  1. Step 1: For packs of 6: 250 ÷ 6 = 41 remainder 4

  2. Step 2: Need 42 packs of 6 = 252 samosas (2 extra)

  3. Step 3: For packs of 8: 250 ÷ 8 = 31 remainder 2

  4. Step 4: Need 32 packs of 8 = 256 samosas (6 extra)

  5. Step 5: Compare: Packs of 6 have less waste (2 extra vs 6 extra), while packs of 8 require fewer packs (32 vs 42). The better choice depends on whether Rani prioritizes fewer packs or less waste.

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