4MA1/2F Jun 2019, Question 11: Dividing in a Given Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 6 marks
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The question, in short
Flights cost £1190 split between Calvin and Jenny in the ratio 2 : 5; villa costs £3500 with a 12% deposit and the remainder paid in £220 monthly instalments. Find Jenny's extra payment and the number of instalments.
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Part (a) · 3 marks
Flights total £1190 shared in ratio 2 : 5. Find how much more Jenny pays than Calvin.
- 12 + 5 = 7 parts
- 2One part = 1190 ÷ 7 = 170
- 3Calvin = 2 × 170 = 340, Jenny = 5 × 170 = 850
- 4Difference = 850 − 340 = 510
Answer510
Part (b) · 3 marks
Villa costs £3500, deposit is 12%, remaining amount paid in £220 monthly instalments. Find how many instalments are needed.
- 1Deposit = 12% of 3500 = 420
- 2Rest = 3500 − 420 = 3080
- 33080 ÷ 220 = 14
Answer14
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