A sum of rs 800 is in the form of denomination of rs 10 and rs 20.If the total number of notes are 50, find the number of notes of each type.

Explanation

Given:
Total amount`=Rs.800`
Total number of notes are `50`.
Notes are of the form `Rs.10` and `Rs.20`.
Let the number of `Rs.10` be `x`.
`therefore` The number of `Rs.20` will be `50-x`.
According to the question,
`10x+20(50-x)=800`
`10x+1000-20x=800`
`-10x=800-1000`
`-10x=-200`
`x=200/10`
`x=20`
The number of notes of `Rs.10=x=20`.
The number of notes of `Rs.20=(50-x)=(50-20)=30`.
Hence, there are `20`, `Rs.10` notes and there are `30`, `Rs.20` notes.