Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy?

15 x 0.08 = £1.20 which means Nadia has £5 - £1.20 = £3.80 remaining£3.80/0.3 = 12.6 recurring so 12 whole rulers can be bought 12 x 0.3 = £3.60 spent on rulers£3.80 - £3.60 = £0.20 change remaining £0.20/0.08 = 2 more pencils can be boughtSo in total, 17 pencils and 12 rulers can be bought

AT

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