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Romila went to a stationery shop and ...

Romila went to a stationery shop and purchased 2 pencils and 3 erasers for Rs 9. Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers of the same land for Rs 18. Represent this situation algebraically and graphically.

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Let us consider Example 2 in Section 3.3, i.e., the cost of 2 pencils and 3 erasers is Rs 9 and the cost of 4 pencils and 6 erasers is Rs 18. Find the cost of each pencil and each eraser.

Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a ring on the items kept in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla is half the number of rides she had on the Giant Wheel. Each rides costs Rs 3, and a game of Hoopla costs Rs 4. If she spent Rs 20 in the fair, represent this situation algebraically and graphically.

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Adam bougth 23 pencils 15 erasers and 20 shapeners form a stationery shop and spent at total of $111. Bob bought 19 erasers, 12 pencils and 40 sharpeners from the same stationery shop and spent $10 more than Adam. Which of the two equations statisfy the above two conditions, if the price of pencil is $a , price of an eraser is $b and price of a sharpener is $ c?

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