A sum of ₹ 400 is in the form of denominations of ₹ 10 and ₹ 20. If the total number of
notes is 50, then formulate the linear equation in one variable based on the given
information.
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SOLUTION
GIVEN
- A sum of ₹ 400 is in the form of denominations of ₹ 10 and ₹ 20.
- The total number of notes is 50
TO DETERMINE
To formulate the linear equation in one variable based on the given information.
EVALUATION
Let the number of notes of ₹ 10 and ₹ 20 are respectively x and y
Now it is given that the sum of ₹ 400
10x + 20y = 400
⇒ x + 2y = 40
Again the total number of notes is 50
So by the given condition
x + y = 50
Hence the required linear equations are
x + 2y = 40
x + y = 50
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