Answer: he has 32 quarters and 17 nickels.
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of quarters that he has in her wallet.
Let y represent the number of nickels that she has in her wallet.
He has 49 coins total. This means that
x + y = 49
the total value of the coins is $8.85. This means that
0.25x + 0.05y = 8.85 - - - - - - - - - - 1
Substituting x = 49 - y into equation 1, it becomes
0.25(49 - y) + 0.05y = 8.85
12.25 - 0.25y + 0.05y = 8.85
- 0.25y + 0.05y = 8.85 - 12.25
0.2y = 3.4
y = 3.4/0.2
y = 17
x = 49 - y = 49 - 17
x = 32
