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The initial ratio of sugar to flour in dough was 2 : 7. To 9 kg of the dough, John added more sugar to make the sugar to flour ratio 2 : 5. How much sugar did Johan later add?

The initial ratio of sugar to flour in dough was 2 : 7. To 9 kg of the dough, John added more sugar to make the sugar to flour ratio 2 : 5. How much sugar did Johan later add? Correct Answer 800 g

Given:

The initial ratio of sugar to flour in dough was 2 : 7.

To 9 kg of the dough, John added more sugar to make the sugar to flour ratio 2 : 5.

Concept used:

Basic concept of addition and subtraction of quantity in the mixture.

Calculation:

Initial ratio of sugar and flour in dough = 2 : 7 and the quantity of dough present initially = 9 kg

Let the initial quantity of sugar be 2x and flour be 7x.

⇒ 2x + 7x = 9

⇒ x = 1

⇒ Initial quantity of sugar = 2 kg

⇒ Initial quantity of flour = 7 kg

After adding, sugar the ratio of sugar to flour in dough becomes 2 : 5

Let John added ‘y’ kg of sugar to dough.

⇒ (2 + y)/7 = 2/5

⇒ 10 + 5y = 14

⇒ y = 0.8 kg

⇒ 800 g

∴ 800 g of sugar Johan later add.

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