4MA1/1FR Jun 2025, Question 6: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks
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The question, in short
Given two total weights for 7 boxes plus 2 crates (27.3 kg) and 4 boxes plus 2 crates (16.8 kg), find the weight of one crate.
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Solution · 4 marks
- 17b + 2c = 27.3 and 4b + 2c = 16.8
- 2Subtract: 3b = 27.3 − 16.8 = 10.5
- 3b = 10.5 ÷ 3 = 3.5
- 42c = 16.8 − 4 × 3.5 = 2.8
- 5c = 2.8 ÷ 2 = 1.4 kg
Answer1.4
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