Question 404677
John has $446. in ten-dollar, five-dollar, and one-dollar bills. There were 94 bills in all, and 10 more five-dollar bills than ten-dollar bills. How many one-dollar bills did John have?
.
Let x = number ten dollar bills
then
x+10 = number of five dollar bills
94-x -(x+10) = number of one dollar bills
.
10x + 5(x+10) + 94-x -(x+10) = 446
10x + 5(x+10) + 94-x -x-10 = 446
10x + 5x+50 + 84-2x = 446
13x + 134 = 446
13x = 312
x = 24(tens)
.
Ones:
94-x -(x+10) 
=94-x -x-10
=84-2x
=84-2(24)
=84-48
= 36 (number of one dollar bills)