SOLUTION: Question 18379: A man walks into a bank and makes a withdrawal of $1500 from his savings account. He asks for a specific number of $1 bills and a certain number of $10 bills. He

Question 736723: Question 18379: A man walks into a bank and makes a withdrawal of $1500 from his savings account. He asks for a specific number of $1 bills and a certain number of $10 bills. He also asks for ten times as many $5 dollar bills as $1 bills and twice as many $50 bills as $10 bills. How many bills of each type does he get?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
n=ones
t=tens
f=fives
y=fifties
n+10t+5f+50y=1500
10n=f
2t=y
we only have three equations with four unknowns
we can limit the numbers
150>t>0
30>y>0
1500>n>0
300>f>0
y must be even
there are now only 15 possible values for y
n so
300>n>0
but f <300
so 30>n
and
t<15
from trial and error
n = 10 and f = 100 and t = 9 and y = 18
check
10*1+100*5+9*10+18*50
10+500+90+900=1500
1500=1500
ok
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