Question 34459
Nickels = x
Dimes = y
.05x+ .10y = 5.65 (based on total collection)
=> 5x + 10y = 565.....(1)
(.10)(2y)+(x+8)(.05) = 10.45 (Based on adjusted collection)
=> .2y+.05x+.40 = 10.45
=> .2y+.05x = 10.05
=> 5x+20y = 1005.......(2)
(2) minus (1) gives,
10y = 440
=> y = 44;
From (1) 5x = 565-10y = 565-440 = 125
=> x = 125/5 = 25;
Answer: Number of dimes = 44;