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The table below shows the total number of cakes sold by five different shops and the ratio distribution of biscuit cakes and pan cakes in these shops. Shop A: 700 total cakes, biscuit : pan = 5 : 9 Shop B: 850 total cakes, biscuit : pan = 9 : 8 Shop C: 980 total cakes, biscuit : pan = 4 : 3 Shop D: 1200 total cakes, biscuit : pan = 8 : 7 Shop E: 1020 total cakes, biscuit : pan = 5 : 7 Find the ratio of the number of biscuit cakes sold by shops A and D together to the number of pan cakes sold by shops B and E together.

1. 175:199
2. 178:199
3. 178:109
4. 179:194

Correct answer: 178:199

Solution

Using the given ratios, biscuit cakes from A and D are found from their respective total shares, and pan cakes from B and E are similarly computed. After adding the required quantities, the ratio simplifies to 178:199.

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