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Ex-3.2 Q-1 |
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Answer» Let number of boys who took part in the quiz = xLet number of girls who took part in the quiz = yAccording to given conditions, we havex + y = 10… (1)And, y = x + 4⇒ x – y = −4 … (2)For equation x + y = 10, we have following points which lie on the lineFor equation x – y = –4, we have following points which lie on the lineWe plot the points for both of the equations to find the solution.We can clearly see that the intersection point of two lines is (3, 7).Therefore, number of boys who took park in the quiz = 3 and, number of girls who took part in the quiz = 7.(ii) Let cost of one pencil = Rs x and Let cost of one pen = Rs yAccording to given conditions, we have5x + 7y = 50… (1)7x + 5y = 46… (2)For equation 5x + 7y = 50, we have following points which lie on the lineFor equation 7x + 5y = 46, we have following points which lie on the lineWe can clearly see that the intersection point of two lines is (3, 5).Therefore, cost of pencil = Rs 3 and, cost of pen = Rs 5 Kindly provide more clarity |
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