Answer: she had 18 nickels and 7 dimes.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of dimes that she has in her coin purse.
Let y represent the number of nickels that she has in her coin purse.
Alison has 1.60 worth of nickels and dimes in her coin purse. This means that
0.1x + 0.05y = 1.6 - - - - - - - - - - - 1
She has 11 more nickels than dimes. It means that
y = x + 11
Substituting y = x + 11 into equation 1, it becomes
0.1x + 0.05(x + 11) = 1.6
0.1x + 0.05x + 0.55 = 1.6
0.15x = 1.05
x = 1.05/0.15
x = 7
y = x + 11 = 7 + 11
y = 18
