A box contains 39 total coins and bills worth $36.60 all coins are either five dollar bills or nickels how many of each type are there? Use a equation

7 $5 bills, 32 nickels

Step-by-step explanation:

Ok, so to solve this, we need to make two separate equations. If we say that x is the number of nickels, and y is the number of 5 dollar bills, adding up to $36.60, we can make the equations 0.05x + 5y = 36.60, and x + y = 39. Using substitution, we can say 0.05x + 5 (39-x) = 36.60. This simplifies to 195-4.95x = 36.6. We can then say 158.4 = 4.95x, and x = 32. This means we have 32 nickels. As there are 39 total coins and bills, that means there are 7 $5 bills, and 32 nickels.