SOLUTION: Hank has a total of $175 in $5 and $20 bills. The number of $5 bills he has is 3 more than 4 times the number of $20 bills. How many of each type of bill does Hank have?

Question 936201: Hank has a total of $175 in $5 and $20 bills. The number of $5 bills he has is 3 more than 4 times the number of $20 bills. How many of each type of bill does Hank have?
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
let x be the no of $ 5 bills
let y be the no of $ 20 bills
The number of $5 bills he has is 3 more than 4 times the number of $20 bills
hence
x= 4*y+3
but total is $175
hence 175= x*5 +y*20
put x= 4y+3 in the above equation
175 = (4y+3)*5+y*20
175 = 4y*5+3*5+20y
175 =20y+15+20y
175 = 20y+20y+15
175 = 40y+15
subtract 15 on both sides
175-15 =40y+15-15
160 =40y
divide with 40 on both sides

so no of $20 bills(y)= 4
no of $ 5 bills(x) = 4*4+3
=16+3
=19
Result: no of $ 5 bills = 19 & no of $20 bills = 4
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