there is no title

Question

A stack of​ $20, $50, and​ $100 bills was retrieved as part of a police investigation. There were

5050

more​ $50 bills than​ $100 bills.​ Also, the number of​ $20 bills was

77

times the number of​ $100 bills. If the total value of the money was

​$91709170​,

find the number of each type of bill.

Answer 1

f = h + 50

t = 7h

20t + 50f + 100h = 9170

Since we have f and t both compared to h, if we substitute into our 3rd equation, we have just one variable.

20(7h) + 50(h + 50) + 100h = 9170

140h + 50h + 2500 + 100h = 9170

290h = 6670

h = 23 $100 bills

I bet you can find the rest!