Question 7858
Let x = the number of $1.00 bills.

Then: x($1.00) + (83 - x)($5.00) = $183.00  Simplify and solve for x.

x + 415 - 5x = 183.00
415 - 4x = 183 Add 4x to both sides.
415 = 183 + 4x  Subtract 183 from both sides.
232 = 4x  Divide both sides by 4.
x = 58

The woman deposited 58 $1.00 bills

Check:

58($1.00) + (83 - 58)($5.00) = $58.00 + 25($5.00) = $58.00 + $125.00 = $183.00