Question #27312

1 Answer
Azimet
Jan 21, 2017

#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#.

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