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The initial ratio of sugar and flour in the dough was 4 : 7 With 22 kg of the dough Justine added more flour to make the sugar to flour ratio 2 : 5. How much flour did Justine later added?

The initial ratio of sugar and flour in the dough was 4 : 7 With 22 kg of the dough Justine added more flour to make the sugar to flour ratio 2 : 5. How much flour did Justine later added? Correct Answer 6 kg

Ratio of mixture of sugar and flour = 4 : 7

⇒ 4 + 7 = 11 unit

⇒ 11 unit = 22 kg

⇒ 1 unit = 2 kg

⇒ 4 unit = 2 × 4 = 8 kg

⇒ 7 unit = 2 × 7 = 14 kg

Quantity of sugar in the dough = 8 kg

Quantity of flour in the dough = 14 kg

Let quantity of flour added be x

According to the question

8/(14 + x) = 2/5

⇒ 40 = 28 + 2x

⇒ 2x = 40 – 28

⇒ x = 12/2

⇒ x = 6 kg

∴ Justine later on added 6 kg of flour

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