Kaveri has a total rs 590 as currency notes is the denominations ofrs50 , rs 20 , and rs 10 . the ratio of the number of rs 50 note and rs 2o is 3: 5. if she has a total of 25 notes , how many notes of each denomination she has?

Let
x = number of rs 50
y = number of rs 20
z = number of rs 10

Because there are 25 total notes,
x + y +  z = 25              (1)

The ratio of rs 50 to rs 20 is 3:5, therefore
x = 0.6y                       (2)

The total amount is rs 590, therefore
50x + 20y + 10z = 590      
or
5x + 2y + z = 59            (3)

Subtract (1) from (3).
4x + y = 34            (4)
Substitute (2) into (4).
4*(0.6y) + y = 34
3.4y = 34
y = 10

From (2), obtain
x = 6
From (1), obtain
z = 25 - 6 - 10 = 9

Kaveri has
 6 rs 50 notes,
10 rs 20 notes,
 9 rs 10 notes.

y=4.47 and x=√10

Step-by-step explanation:

180°-45°-90°=45°

√10/(sin 45°)=y/(sin 90)

y=4.47

√10/(sin 45°)=x/(sin45)

x=√10