Question

Madhu has a total of 590 as currency notes in the denomination of 50, 20 and 10. The ratio
of the number of 50 notes and 20 notes is 3 : 5. If she has a total of 25 notes, how many notes of
each denomination she has?​

Answer 1

Answer:

9, 10, 6

Step-by-step explanation:

Let no. of ₹10 notes = x

" " " ₹20 notes = y

" " " ₹50 notes = z

Acc. to the question,

x+y+z = 25 ----(1)

and 10x+20y+50z = 590

i.e. x+2y+5z = 59 -------(2)

Subtracting (1) from (2) we get

y+4z = 34

y= 34-4z ---(3)

Now,

z:y = 3:5

z/y = 3/ 5

so, y= 5/3 z ---(4)

putting this in eq (3)

z=102/17 =6

putting this value im eq (4)

y=10

putting y=10 and z=6 in eq (1), we get

x=59-50=9

No. of ₹10 notes = x= 9

" " ₹20 notes = y = 10

₹30 notes = z= 6

Hope it helps!