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Question
Observe the following nutritional chart carefully:
| Food Item (Per Unit = 100g) | Carbohydrates |
| Rajma | 60g |
| Cabbage | 5g |
| Potato | 22g |
| Carrot | 11g |
| Tomato | 4g |
| Apples | 14g |
Write an algebraic expression for the amount of carbohydrates (in grams) for 2x units tomatoes and y units apples.
Solution
By unitary method,
∴ 1 unit of tomatoes contain carbohydrates = 4 g
∴ 2x units of tomatoes contain carbohydrates = 2x × 4 = 8x g
Similarly,
∴ 1 unit apples contain carbohydrates = 14 g y units apples contain carbohydrates = 14 × y = 14y g
Hence, the required expression is 8x + 14y.
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