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Question
In a basket, the ratio between the number of oranges and the number of apples is 7 : 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1 : 2. Find the original number of oranges and the original number of apples in the basket.
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Solution
Let the original number of oranges and apples be 7x and 13x.
According to the given information,
`(7x - 8)/(13x - 11) = 1/2`
`\implies` 2(7x – 8) = 1(13x – 11)
`\implies` 14x – 16 = 13x – 11
`\implies` 14x – 13x = –11 + 16
`\implies` x = 5
Thus, the original number of oranges and apples are 7 × 5 = 35 and 13 × 5 = 65 respectively.
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| Nutrition Facts | Nutrition Facts | ||
| Serving Size 1 cup (240ml) | Serving Size 1 cup (240ml) | ||
| About 2 serving per Container | About 2 serving per Container | ||
| Amount Per Serving | Amount Per Serving | ||
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| Total Carbohydrate 17g | 6% | Total Carbohydrate 17g | 6% |
| Dietary Fibre 3 gram | 14% | Dietary Fibre 4 gram | 18% |
| Sugar 5g | Sugar 11g | ||
| Protein 3g | Protein 2g | ||
| Vitamin A 30% | Vitamin C 10% | Vitamin A 20% | Vitamin C 20% |
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| *Per cent Daily Values are based on a 2,000 calorie diet. |
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Calculate ratio of calories from fat in sweet corn soup to the calories from fat in cream of tomato soup.
In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of money that she saves to the money she spends.
