SOLUTION: Aarushi has a total of RS 590 as currency notes in the denominations of RS 50, RS 20 and RS 10. The ratio of number of RS 50 and RS 20 is 3:5. If she has total of 25 notes, how man

Question 1031183: Aarushi has a total of RS 590 as currency notes in the denominations of RS 50, RS 20 and RS 10. The ratio of number of RS 50 and RS 20 is 3:5. If she has total of 25 notes, how many notes of each denomination she has?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Aarushi has a total of RS 590 as currency notes in the denominations of RS 50, RS 20 and RS 10. The ratio of number of RS 50 and RS 20 is 3:5. If she has total of 25 notes, how many notes of each denomination she has?
-------
Value:: 50f + 20t + 10n = 590
Quantity:: 5f = 3t
Quantity:: f + t + n = 25
-------------------------------------
Modify to solve::
f = 3/5 t
-----
Substitute to get:
30t + 20t + 10n = 590
(8/5)t + n = 25
---------------------
50t + 10n = 590
8t + 5n = 125
--------------------
50t + 10n = 590
16t + 10n = 250
-------------------
Subtract and solve for "t":
34t = 340
t = 10 (# of RS20 bills)
---
f = (3/5)t = 6 (# of RS 50 bills)
-----
n = 25-(8/5)t = 25-16 = 9 (# of RS10 bills)
-------------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
An amount of Rs. 8750 is made up with the notes of denominations Rs. 100, 50, 20, and 10. (answered by Theo)

A boy has Rs 728 in denomination of Rs 2 notes,Rs 5 notes and Rs 10 notes in the ratio (answered by ikleyn,josgarithmetic,MathTherapy)

A boy has Rs.726 in denomination of Rs.2notes, Rs. 5 notes and Rs 10 notes in the ratio... (answered by ikleyn)

The sum of RS 1000 is in the form of denominations of RS 10 and RS 50. If the Total... (answered by rothauserc,ikleyn)

a boy has 728 rs denomination of 2 rs notes,5 rs notes and 10 rs nots in the ratio of... (answered by ikleyn)

There are 50 currency notes of Rs 1000 and 35 currency notes of Rs 500 in a Safe. If 4... (answered by Boreal)

A sum of Rs.800 is in the form of Rs.10 and Rs.20.If the total number of notes is 50,... (answered by addingup)

Hi, everyone A sum of Rs 2000 is in the denomination of Rs.50 and Rs.10 notes. if the... (answered by sachi)

sum of 800 is in the denominatiom of rs 10 and rs 20 if total no of notes be 50 fund the... (answered by Maths68)