Rinky planned to celebrate her mom’s birthday. She baked a cake and prepared lemonade.She bought few gulab jamoons and samosas as well. The number of gulab jamoons isdouble the number of samosas. Please help Rinky to form a linear equation in twovariable by taking number of gulab jamoon as X and the number of samosas as Y andanswer her questions given below.1. The linear equation that represents this situation isA) X+2Y=0 B) X-2Y=0C) 2X+Y=0 D) 2X-Y=02. She bought 8 jamoons, how many samosas did she buy?A) 2 B) 4C) 8 D) 163. If the total cost of jamoons and samosas is 100 rupees, and the cost of each jamoonis Rs. a and the cost of each samosa is Rs.b, then the equation representing thesituation isA) 8a+2b=100 B) 8a+8b=100C) 8a+16b=100 D) 8a+4b=1004. If the cost of one jamoon is Rs.5, then the cost of each samosa isA) Rs.30 B) Rs.7.50C) Rs.15 D) Rs.55. The graph of the equation of the above situation is a straight line that__________A) Is parallel to X- axis B) Is parallel to Y -axisC) Does not passes through the origin D) Passed through the origin
Question
Rinky planned to celebrate her mom’s birthday. She baked a cake and prepared lemonade.She bought few gulab jamoons and samosas as well. The number of gulab jamoons isdouble the number of samosas. Please help Rinky to form a linear equation in twovariable by taking number of gulab jamoon as X and the number of samosas as Y andanswer her questions given below.1. The linear equation that represents this situation isA) X+2Y=0 B) X-2Y=0C) 2X+Y=0 D) 2X-Y=02. She bought 8 jamoons, how many samosas did she buy?A) 2 B) 4C) 8 D) 163. If the total cost of jamoons and samosas is 100 rupees, and the cost of each jamoonis Rs. a and the cost of each samosa is Rs.b, then the equation representing thesituation isA) 8a+2b=100 B) 8a+8b=100C) 8a+16b=100 D) 8a+4b=1004. If the cost of one jamoon is Rs.5, then the cost of each samosa isA) Rs.30 B) Rs.7.50C) Rs.15 D) Rs.55. The graph of the equation of the above situation is a straight line that__________A) Is parallel to X- axis B) Is parallel to Y -axisC) Does not passes through the origin D) Passed through the origin
Solution
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The linear equation that represents this situation is B) X-2Y=0. This is because the number of gulab jamoons (X) is double the number of samosas (Y).
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If she bought 8 jamoons, then she bought B) 4 samosas. This is because the number of gulab jamoons is double the number of samosas.
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The equation representing the situation is A) 8a+2b=100. This is because she bought 8 jamoons and 4 samosas, and the total cost is 100 rupees.
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If the cost of one jamoon is Rs.5, then the cost of each samosa is B) Rs.7.50. This is because the total cost of the jamoons and samosas is 100 rupees, and we know from the previous question that the cost of the jamoons is 40 rupees (8 jamoons * Rs.5 each). This leaves 60 rupees for the samosas, and since there are 4 samosas, each one costs Rs.7.50.
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The graph of the equation of the above situation is D) Passed through the origin. This is because when the number of samosas (Y) is 0, the number of gulab jamoons (X) is also 0, and vice versa. This means the line representing the equation passes through the point where X and Y are both 0, which is the origin.
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