Question

Question #27312

Answer 1

`15` one dollar notes, and `5` five dollar ones.

Explanation:

If `a` the number of $1 notes and `b` the number of $5 notes, then

`a = 3b`, since `a` is three times larger than `b`.

`a + 5b = 40`, since "`1` times the number of $1 notes plus `5` times the amount of $5 notes should equal the total amount of money, or ($)40".

Subtracting the first equation from the second:

`5b = 40 - 3b => 8b = 40 => b = 5`.

Substituting `b=5` in the first equation, we find `a = 15`.