Read the following table carefully and answer the question given below. The table shows the total number of cakes (Biscuit cakes and Pan cakes) sold by five different shops along with the ratio of Biscuit cakes to Pan cakes sold in each shop.

| Shops | Total cakes sold | Biscuit cakes : Pan cakes |
|-------|------------------|---------------------------|
| A | 700 | 5 : 9 |
| B | 850 | 9 : 8 |
| C | 980 | 4 : 3 |
| D | 1200 | 8 : 7 |
| E | 1020 | 5 : 7 |

What is the difference between the total number of Pan cakes sold by shops E and D together and the total number of Biscuit cakes sold by shops C and A together?

Question

Read the following table carefully and answer the question given below. The table shows the total number of cakes (Biscuit cakes and Pan cakes) sold by five different shops along with the ratio of Biscuit cakes to Pan cakes sold in each shop.

| Shops | Total cakes sold | Biscuit cakes : Pan cakes |
|-------|------------------|---------------------------|
| A     | 700              | 5 : 9                     |
| B     | 850              | 9 : 8                     |
| C     | 980              | 4 : 3                     |
| D     | 1200             | 8 : 7                     |
| E     | 1020             | 5 : 7                     |

What is the difference between the total number of Pan cakes sold by shops E and D together and the total number of Biscuit cakes sold by shops C and A together?

Accepted Answer

**Solution:**

1. Calculate the number of Biscuit and Pan cakes sold by each relevant shop using the given ratios.

- For Shop A (Total = 700, Ratio = 5:9):
  - Total parts = 5 + 9 = 14
  - Biscuit cakes = $ $\frac{5}{14} \times 700 = 250$ $
  - Pan cakes = $ $\frac{9}{14} \times 700 = 450 $$

- For Shop C (Total = 980, Ratio = 4:3):
  - Total parts = 4 + 3 = 7
  - Biscuit cakes = $ $\frac{4}{7} \times 980 = 560 $$
  - Pan cakes = $ $\frac{3}{7} \times 980 = 420 $$

- For Shop D (Total = 1200, Ratio = 8:7):
  - Total parts = 8 + 7 = 15
  - Biscuit cakes = $ $\frac{8}{15} \times 1200 = 640 $$
  - Pan cakes = $ $\frac{7}{15} \times 1200 = 560 $$

- For Shop E (Total = 1020, Ratio = 5:7):
  - Total parts = 5 + 7 = 12
  - Biscuit cakes = $$ \frac{5}{12} \times 1020 = 425 $$
  - Pan cakes = $ $\frac{7}{12} \times 1020 = 595 $$

2. Find the total Pan cakes sold by shops E and D:
   $ 595 + 560 = 1155 $

3. Find the total Biscuit cakes sold by shops C and A:
   $ 560 + 250 = 810 $

4. Calculate the difference:
   $ 1155 - 810 = 345 $

**Answer:** 345

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