a women has 60 notes in all of 10 and 20 denomination . if the total worth of the notes is 850 , find out ho
w many notes of each kind does she have
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Given :-
- Total number of notes = 60.
- Total worth of 60 notes = ₹ 850.
To Find :-
- Number of notes of each kind she has.
Solution :-
Let the number of ₹ 10 notes be x and ₹ 20 notes be y.
According to the question,
⇒ x + y = 60......( 1 )
And,
⇒ 10x + 20y = 850
⇒ x + 2y = 85.....( 2 )
Equation ( 1 ) - equation ( 2 ) gives,
⇒ -y = -25
⇒ y = 25
Substituting the value of y in ( 1 ), gives,
⇒ x + 25 = 60
⇒ x = 60 - 25
⇒ x = 35
Hence,
- Number of ₹ 10 notes = 35.
- Number of ₹ 20 notes = 25.
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