SOLUTION: The sum of RS 1000 is in the form of denominations of RS 10 and RS 50. If the Total number of notes is 60, find the number of notes of each type

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of RS 1000 is in the form of denominations of RS 10 and RS 50. If the Total number of notes is 60, find the number of notes of each type      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1111752: The sum of RS 1000 is in the form of denominations of RS 10 and RS 50. If the Total number of notes is 60, find the number of notes of each type
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let R10 be the number of RS 10 notes and R50 be the number of RS 50 notes
:
1) R10 + R50 = 60
:
2) (10 * R10) + (50 * R50) = RS 1000
:
solve equation 1 for R10 and substitute for R10 in equation 2
:
R10 = 60 - R50
:
(10 * (60 - R50) + (50 * R50) = RS 1000
:
600 - 10R50 + 50R50 = 1000
:
40R50 = 400
:
R50 = 10
R10 = 60 - 10 = 50
:
**********************************************
There are 10 RS 10 notes and 50 RS 50 notes
:
check answer
:
(50 * RS 10) + (10 * RS 50) = RS 1000
:
500 RS + 500 RS = RS 1000
**********************************************
:

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

Correct answer is 50 RS 10 notes and 10 RS 50 notes.