Amina went to a stationery store to buy pairs of pencils. Each pencil cost *3.25. For every 2 pencils that she bought, she also bought an eraser worth *2 and a sharpener worth *3. She would buy the two pencils only if she could also buy the eraser and sharpener. If she had 25 with her, how many pencils, erasers, and sharpeners did she buy
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Correct answer:-
Let the cost of one pencil =Rs.x
and cost of one eraser =Rs.y
Romila spent =Rs.9
Sonali spent =Rs.18
According to the question,
2x+3y=9 ....(1)
4x+6y=18 ....(2)
Now, table for 2x+3y=9
Now, table for 4x+6y=18
On plotting points on a graph paper and join them to get a straight line representing 2x+3y=9.
Similarly, on plotting the points on the same graph paper and join them to get a straight line representing 4x+6y=18
Here, we can see that both the lines coincide. This is so, because, both the equations are equivalent, i.e. 2(2x+3y)=2×9 equation (2) is derived from the other.
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