archana has only rs 10 and 20 with her total 50.
rs 750
find rs. 10 and 20 notes
Answers
SOLUTION
GIVEN
- Archana has only Rs 10 and Rs 20 notes with her
- The total number of notes is 50
- The amount of her money is Rs 750
TO DETERMINE
The number of Rs 10 and Rs 20 notes
EVALUATION
Let the number of Rs 10 and Rs 20 notes are x and y respectively
The total number of notes is 50
∴ x + y = 50 - - - - - - (1)
The amount of her money is Rs 750
∴ 10x + 20y = 750
⇒ x + 2y = 75 - - - - - - (2)
Equation 2 - Equation 1 gives
y = 75 - 50
∴ y = 25
From Equation 1 we get
x + 25 = 50
⇒ x = 50 - 25
⇒ x = 25
FINAL ANSWER
The number of Rs 10 and Rs 20 notes are 25 and 25 respectively
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